Antide sitter space definition of antide sitter space by. Jakob gath, the role of black holes in the adscft correspondence pdf. So far, the proposal has been checked by comparing spectra and loworder correlation functions of the dual theories. Quantum eld theory on global antide sitter spacetime. Evolution of black holes in antide sitter spacetime and the.
The existence of such a regular black hole solution preserves the weak energy condition, while the strong energy condition is violated. In mathematics and physics, ndimensional antide sitter space adsn is a maximally. The antide sitter spacetime as a time machine springerlink. From this, we are able to compute the time delay of null curves propagating near infinity.
To make the problem tractable we assume spherical symmetry. Featured on meta community and moderator guidelines for escalating issues via new response. Antide sitter spacetime this worksheet demonstrates a few capabilities of sagemanifolds version 1. It is argued that it is the former whichisimportant. To run it, you must start sagemath within the jupyter notebook, via the command sage n jupyter. D of rotating black holes in antide sitter backgrounds using the. Written version of lectures given at 2nd samos meeting held at at pythagoreon, samos, greece, 31 august 4 september 1998 and published as antidesitter spacetime and its uses, in mathematical. The conformal boundary of antide sitter spacetimes pdf. In antide sitter space, in the absence of matter or energy, the curvature of spacelike sections is negative, corresponding to a hyperbolic geometry, and.
The positivity of energy for asymptotically antide sitter. In 1983, hawking and page 11 discovered using path integral methods that schwarzschildads black holes have negative free energy relative to ads spacetime at high. In this spacetime, ctcs evolve from a casually wellbehaved initial hypersurface. Finite volume approximation of the relativistic burgers. Let us emphasize that e d and j di are classical concepts on which thermodynamics is built rather than the other way round.
This is a pedagogical account of some of the global properties of antide sitter spacetime with a view to their application to the adscft. Because it is among the simplest of curved spacetimes, ndimensional antide. Such checks are based on a remarkably compact and powerful statement of the equality between certain path. Sitter spacetime ads has been of continuing interest to. The natural linear structure on p4 given by subspaces of r5 induces a natural linear structure on each of h4 and des and in particular planes through the origin cut h4 and des in geodesics and all geodesics are of this form this is proved below. Sokolowski, the bizarre antide sitter spacetime, international journal of geometric methods in modern physics no. And what is important here that this factor is absent, for the case of d 2, we dont have this factor. Critical phenomena of regular black holes in antide. From the geometrical viewpoint, among the cousins of minkowski spacetime the class of. Geometry of the antide sitter spacetime cosmological. This is a pedagogic account of some of the global properties of antidesitter spacetime with a view to their application to the adscft.
This is a pedagogic account of some of the global properties of antide sitter spacetime with a view to their application to the adscft. In this paper we consider the antide sitter ads space as an example and analyze this observable carefully. Metric of the antide sitter spacetime cosmological. In our conventions antide sitter space is the pseudoriemanninan space for which r0, and so for which k. The natural linear structure on p4 given by subspaces of r5 induces a natural linear structure on each of h4 and des and in particular planes through the origin cut. So, no, the embedding is not specifically related to a negative cosmological constant. Massivescalar e ective actions on antide sitter spacetime. We start by proposing a relation between supersymmetric black holes in four and ve.
Pdf pq superstrings in antidesitter spacetime betti. Memory effect in antide sitter spacetime inspirehep. Peng zhao, black holes in antide sitter spacetime pdf. The antide sitter spacetime is one of the simplest and most symmetric so lutions of. Geometry of antide sitter spacetime semantic scholar. Jun 22, 2019 nevertheless in curved spacetime, this observable is plagued with various issues that need to be clarified before one can extract the essential part that is related to the gravitational radiation. We also investigate their phase space when the symmetry is local and the effect of the charge to its stability. We provide coordinate systems which cover various patches of these spacetimes. The results are compared with those obtained by paulivillars regularization. On the mass of a kerr antide sitter spacetime in d dimensions. We construct an axially symmetric spacetime admitting, after a certain instant, closed timelike curves ctcs indicating that it is a timemachine spacetime. Antidesitter spacetime and its uses internet archive. In particular, for a degenerate case the solution becomes a haywardads black hole, which is regular everywhere in the full space time.
980 726 291 1435 1002 437 23 1336 1005 64 1519 410 374 502 1214 624 532 1611 1566 1494 1373 106 847 1596 1002 265 496 1335 620 432 180 497 555 609 1125 1584 954 342 904 310 450 641 86 100 327 643 794 1356