Authors: Thomas Heiko Günther
Recently, anti-de Sitter spaces are used in promising theories of quantum gravity like the anti-de Sitter/conformal field theory correspondence. The latter provides an approach to string theorie, which includes more than four dimensions. Unfortunately, the anti-de Sitter model contains no mass and is not able to describe our universe adequately. Nevertheless, the rising interest in higherdimensional theories motivates to take a deeper look at the n-dimensional AdS Spacetime. In this paper, a solution of Einstein's field equations is constructed from a modified anti-de Sitter metric in n dimensions. The idea is based on the connection between Schwarzschild- and McVittie metric: McVittie's model, which interpolates between a Schwarzschild Black Hole and an expanding global Friedmann–Lemaître–Robertson–Walker spacetime, can be constructed by a simple coordinate replacement in Schwarzschild's isotropic intervall, where radial coordinate and it's differential is multiplied by a time dependent scale factor a(t). In a previous work I showed, that an exact solution of Einstein's equations can analogously be generated from a static transformation of de Sitter's metric. The present article is concerned with the application of this method on an AdS (Anti de Sitter) related spacetime in n dimensions. It is shown that the resulting isotropic intervall is a solution of the n-dimensional Einstein equations. Further, it is transformed into a spherical symmetric but anisotropic form, analogously to the transformtion found by Kaloper, Kleban and Martin for McVittie's metric.
Comments: 4 Pages.
[v1] 2019-01-26 05:35:32
Unique-IP document downloads: 0 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.