Pdf shadow of a kaluzaklein rotating dilaton black hole. Kaluza klein theory arises naturally in string theory and some of the kaluza klein monop oles ha v e b een sho wn to corresp ond to exact solutions in string theory 1. Shadow of a kaluzaklein rotating dilaton black hole. In this article we study the geodesic motion of charged particles in the spacetime of an extremal rotating dyonic black hole in kaluza klein theory. Oct 10, 2012 kaluza and klein showed, using general relativity, that this extra dimension would still have an effect on the space around us. The solution describes two boosted black holes with topology s3 on a kaluza klein bubble and has a linear momentum component in the compactified direction. Kaluza klein theory, adscft correspondence and black hole entropy j. The mass of the kaluza klein black holes is investigated by means of the thermodynamic potential and the hawkinghorowitz mass. Reissnernordstrom rn black holes in any dimension and. No mechanism is speci ed why it does not depend on the extra dimensions. We present a fourdimensional double black hole or dihole solution in kaluza klein theory, describing a superposition of an electrically charged and a magnetically charged black hole. We extend the recent microscopic analysis of extremal dyonic kaluza klein d0d6 black holes to cover the regime of fast rotation in addition to slow rotation. Holographic duals of black holes in fivedimensional minimal supergravity.
On time dependent black holes and cosmological models from a. Addendum to supersymmetric dyonic black holes in kaluzaklein. The inner horizon corresponds to the schwarzschild black hole and the outer horizon is due to the scalar fields. This approach also provides new insights into the parameters and solutions of kaluzaklein theory. Spherically symmetric solutions coupled to massive scalar particles in fivedimensional kaluzaklein theory are obtained. The kerrnewman black hole entropy as well as the reissnernordstrom, kerr and schwarzschild black hole entropy are derived from the corresponding euclideanized actions. Stationary, spherically symmetric, asymptotically flat solutions of the kaluza klein theory corresponding to regular black holes in four dimensions are discussed and classified. Cosmic black holes, marginally trapped surfaces, kaluza. Pdf we examine an exact solution which represents a charged black hole in a kaluzaklein universe in the fivedimensional einsteinmaxwell theory find. The thermodynamics, the duality symmetries, and the nearhorizon black holes in kaluza klein theories have attracted tremendous attention over the last decades. They share some similarities with the extreme reissner nordstrom black holes of einsteinmaxwell theory. Suppose this metric gives the circle a total length of. Supersymmetric dyonic black holes in kaluzaklein theory. A sevendimensional solution is shown as a special case of the general solution.
A kaluzaklein black hole is a black brane generalisation of a black hole in asymptotically flat kaluzaklein space, i. Statistical description of rotating kaluzaklein black holes. The features of the solutions are also investigated. However, that was for extremally charged black holes in a ve dimensional einsteinmaxwell theory. We specify conditions such that stationary solutions lead to nonlinear. It was shown in 2 that arbitrarily large s3 black holes can exist for a xed size circle at in nity. Numerical construction and critical behavior of kaluza. To build the kaluzaklein theory, one picks an invariant metric on the circle s 1 that is the fiber of the u1bundle of electromagnetism. Motivated by the fact that stationary and neutral black holes in the usual kaluza klein theory cannot exhibit nontrivial scalar coupling to the com we use cookies to enhance your experience on our website. General black holes in kaluzaklein theory request pdf. Kaluza theory kaluzas idea three important aspects of kaluza theory. The methodology is versatile in that it allows for any combination of admissible horizon topology and spatial section at infinity to coexist within the same spacetime. The kerr spacetime in the kaluza klein theory describes a rotating black hole in four dimensions from the kaluza klein point of view and involves the signature of an extra dimension that shows up through the appearance of the electric and dilaton charges. They are interpreted in string theory as rotating bound states of d0 and d6branes.
We further adapt the technique to higher curvature lovelock theories of gravity, as well. This scenario seems unlikely because it was realized a black string could not pinch off in finite time, shrinking s 2 to a point and then evolving to some kaluza klein black hole. By considering 4d electrogravity as a 5d kaluzaklein theory in the initial kaluza formulation withg 55 1 we can join the 5d and reissnernordstr. All regular fourdimensional black holes are constructed in the theory obtained by kaluzaklein reduction of fivedimensional einstein gravity. The rotating dyonic black holes of kaluzaklein theory. In the full theory this search got frustrated andinthex5independent theory einstein, together with pauli, argued it would be. Wiltshire damtp, university of cambridge, silver street, cambridge cb3 9ew, england received april 22, 1985 stationary, spherically symmetric, asymptotically flat solutions of the kaluzaklein theory corresponding to regular black holes in four dimensions are discussed and classified. We explore the physical consequences of a recently discovered class of exact solutions to five dimensional kaluza klein theory. Fivedimensional kaluzaklein black holes coupled to massive. We construct an exact stationary solution of black hole bubble sequence in the five dimensional kaluza klein theory by using solitonic solution generating techniques. In particular, we look at the concept of coarsegraining and at two definitions of the ricci scalar in a causalset. The description of possibility of kaluza klein theory to be the right unifying theory is.
He studied this theory most intensively during the years 19381943. Talk delivered at the oskar klein centenary nobel symposium, stockholm, september 19. The rotating kaluza klein black holes contain a 4d dyonic reissnernordstrom black hole and myersperry black hole. The thermal evaporation of the holes is considered. New kaluzaklein theory mian, wang, 1989 supersymmetric kaluzaklein reductions of ads backgrounds figueroaofarrill, jose and simon, joan, advances in theoretical and mathematical physics, 2004 the motion of kaluzaklein monopoles ruback, p. We derive the equations of motion and present their analytical solutions in terns of elliptic and hyperelliptic functions. In this paper we consider generalizations in 4 dimensions of the einstein maxwell equations which typically arise from kaluzaklein theories. By continuing to use our website, you are agreeing to our use of cookies. But in that case, a fifth component was added to the electromagnetic vector potential, representing. All regular fourdimensional black holes are constructed in the theory ob tained by kaluzaklein reduction of fivedimensional einstein gravity. Thermodynamics of rotating kaluzaklein black holes in. The purpose of the current paper is to introduce a new technique for constructing ale as well as asymptotically kaluzaklein akk stationary vacuum black holes in five dimensions. Furthermore, we analyze the geodesic motions with the help of parametric diagrams and effective potentials.
We construct an exact stationary solution of black hole bubble sequence in the five dimensional kaluza klein theory by using solitonic solution generating. A black hole is a region of spacetime where gravity is so strong that nothingno particles or even electromagnetic radiation such as lightcan escape from it. In this discussion, an invariant metric is simply one that is invariant under rotations of the circle. Addendumtosupersymmetric dyonic black holes in kaluzaklein. The monop oles ma y also b e regarded as solutions of the n 8 sup ersymmetric theory in 5 dimensions and they t the same sup erm ultiplets as the original elds of the n 8. Introduction in this paper we will investigate the rotating dyonic black holes of 5 dimensional kaluza klein theory. Such solutions, which satisfy supersymmetric killing spinor equations formally satisfied for any n and saturate the corresponding bogomolnyi bounds, can be obtained. Black holes coupled to scalar fields in higherdimensional. Applying squashing transformation to the kerrgodel black hole solution, we present a new type of a rotating kaluzaklein black hole solution in the fivedimensional minimal supergravity.
Trapped surface, black hole, kaluzaklein theory, general relativity. Pdf charged black holes in a fivedimensional kaluzaklein. This solution is considered from the 4d einsteinmaxwelldilaton theory 14, or as a rotating d0d6 bound state in string theory. We derive in this paper an exact spherically symmetric solution coupled to scalar fields inndimensional kaluza klein theory. Kaluza klein theory in quantum gravity abstract in this paper, we discuss a method which aims to combine kaluza klein theory with causalset theory. We calculate properties of these kaluzaklein black holes for varying mass, keeping the asymptotic compactification radius fixed. Straub pasadena, california 91104 june 27, 2014 abstract a very elementary overview of the original kaluza klein theory is presented, suitable for undergraduates who want to learn the basic mathematical formalism behind a revolutionary idea that was proposed one hun. All 4d static, spherically symmetric, twocharge abelian. This includes both solutions which are homogeneous around the compact extra dimension and thos. We present a modern perspective on the role of internal dimensions in physics, focussing in particular on superstring theory. The description of possibility of kaluzaklein theory to be the right unifying theory is. This is a general solution to the dyonic solution where q p.
The most general electrically and magnetically charged rotating black hole solutions of 5 dimensional \kk\ theory are given in an explicit form. A very special cosmological model based on the dynamical interior geometry of a black hole is found that has no singular. In terms of the fivedimensional kaluza klein theory we study the timedependent behaviour of a massless scalar field near the event horizon. Exact solutions of general relativity derived from 5. Asymptotically locally euclideankaluzaklein stationary. In this seminar the 5dimensional kaluzaklein theory is described thoroughly and at the end the extension to higher dimensions is mentioned.
In particular they showed that the effect of gravity in that very small fifth dimension would actually appear to us, from our largerscale perspective, as electromagnetism. The solutions are dyonic black holes with scalar charge. October 1994 1talk deliveredat the oskarklein centenarynobel symposium, stockholm, september 1921, 1994. Citeseerx document details isaac councill, lee giles, pradeep teregowda. This includes both solutions which are homogeneous around the compact extra dimension and those which are not. General black holes in kaluzaklein theory inspire inspire hep. In particular, one finds the very surprising result that the gyromagnetic and gyroelectric. The theory itself is obtained by a kaluzaklein type reduction from five to four dimensions. The new solution generated by the squashing transformation has no closed timelike curve outside the black hole horizons. Under the addition of the kaluzaklein monopoles, a novel aspect of the gaussian fluctuations demonstrates that the canonical fluctuations can be ascertained without any approximation. Pdf stationary, spherically symmetric, asymptotically flat solutions of the kaluza klein theory corresponding to regular black holes in four. Einstein considered ve dimensional classical kaluza klein theory.
In section 2 we shall show how the nearhorizon con. All such solutions can be obtained by performing the son rotations, which do not. We point out the fact that the extra dimension allows us to justify the use of a virasoro mode decomposition along the timelike boundary of the nearhorizon. D black hole solutions of kaluzaklein theory can be reduced to new exact solutions of 4. Black holes coupled to timedependent scalar fields in the. D general relativity in which the matter is a spherically symmetric anisotropic fluid of radiation. Pdf marginally trapped surfaces and kaluzaklein theory. Some cosmological solutions of this fourdimensional theory are examined. Fastly rotating black holes, in contrast to slow ones, have nonzero angular velocity and possess ergospheres, so they are more similar to the kerr black hole. Motion of charged particles around a scalarized black hole. Black hole solutions of kaluzaklein supergravity theories. The boundary of the region from which no escape is possible is called the event horizon. The theory of general relativity predicts that a sufficiently compact mass can deform spacetime to form a black hole. Antigravity and classical solutions of five dimensional.
Since kaluza klein black holes are naturally embedded in type iia string theory as solutions with d0 and d6 charges, ref. Request pdf general black holes in kaluzaklein theory one of the oldest ideas for unifying gravity and electromagnetism is to consider general relativity in five dimensions, with one. We construct a new charged rotating kaluza klein black hole solution in the fivedimensional einsteinmaxwell theory with a chernsimon term. It is shown that in the context of classical kaluzaklein theory there are no neutral black hole solutions with nontrivial scalar coupling between the fourdimensional spacetime and the ndimensional curved or flat internal space. Kaluza, klein and their story of a fifth dimension plus. One of his primary objectives was nding a nonsingular particle solution. When perturbed, the black string would settle into a stable, static nonuniform black string state. Wiltshire damtp, university of cambridge, silver street, cambridge cb3 9ew, england received april 22, 1985 stationary, spherically symmetric, asymptotically flat solutions of the kaluza klein theory corresponding to regular black holes in four dimensions are discussed and classified. Various classical quantities associated with the black holes are derived. The thermodynamic properties of the holes are discussed and smarrtype relations obtained. The asymptotic symmetries of the nearhorizon geometry of a lifted nearextremal reissnernordstrom black hole, obtained by inverting the kaluza klein reduction, explain the deviation of the bekensteinhawking entropy from extremality. Only electrically or magnetically charged black holes can exhibit such a coupling.
This includes both solutions which are homogeneous around the. It is shown that as a result of the nonlinear effect the scalar field increases with time. Regarding the extreme black holes as elementary particles, their stability is discussed and it is found that they are stable provided they have sufficient angular momentum. Black hole solutions of kaluzaklein supergravity theories and string theory jaemo parky california institute of technology, pasadena, ca 91125, usa received 22 may 1997, in. Chapter 2 exact solutions of higher dimensional black holes. It is pointed out that the mass estimated from the thermodynamic. All regular fourdimensional black holes are constructed in the theory obtained by kaluza klein reduction of fivedimensional einstein gravity. The theory itself is obtained by a kaluza klein type reduction from five to four dimensions. In this seminar the 5dimensional kaluza klein theory is described thoroughly and at the end the extension to higher dimensions is mentioned. Conservation of angular momentum is important for the stability of the bound states. In physics, kaluza klein theory kk theory is a classical unified field theory of gravitation and electromagnetism built around the idea of a fifth dimension beyond the usual four of space and time and considered an important precursor to string theory. Can black holes in classical kaluzaklein theory have. Hidden symmetries and geodesics of kerr spacetime in. Annals of physics 167, 201223 1986 black holes in kaluza klein theory g.
Kaluza klein black holes are also of interest by themselves. Using both this group theoretic structure and some properties of harmonic maps we are able to. Properties of kaluzaklein black holes progress of theoretical. October 23, 2019 in this article we study the geodesic motion of charged particles in the spacetime of an extremal rotating dyonic black hole in kaluza klein theory. Introduction a theory unifying gravitation and electromagnetism using fivedimensional riemannian geometry kaluza 1921, klein 1926 and its higherdimensional generalisations to include weak and strong interactions dewitt 1964, kerner 1968, trautman 1970, cho. We offer the statespace geometric implication for the most general nonextremal black brane configurations in string theory.
The dbrane model reproduces their entropy exactly, but the mass gets. The most general electrically and magnetically charged rotating black hole solutions of 5 dimensional kaluza klein theory are given in an explicit form. Kaluzaklein theory, adscft correspondence and black hole. In this paper we consider generalizations in 4 dimensions of the einsteinmaxwell equations which typically arise from kaluzaklein theories. General black holes in kaluzaklein theory inspirehep. Particles and fields 788 march 2007 with 15 reads how we measure reads. These results should be contrasted with related results about black holes and bubbles in kaluza klein theory. Pdf balanced electricmagnetic dihole in kaluzaklein theory. Annals of physics 167, 201223 1986 black holes in kaluzaklein theory g. Addendum to supersymmetric dyonic black holes in kaluza. This article is the written version of authors plenary talk delivered on july 2, 2008 at the. Scalarcoupled black holes in classical kaluzaklein. Stationary, spherically symmetric, asymptotically flat solutions of the kaluzaklein theory corresponding to regular black holes in four dimensions are discussed. Kaluza klein black holes kaluza klein black holes are a 5d uplifted solution of rotating black holes with electric qand magnetic pcharges 8, 15, 12.
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