Authors: Thomas Heiko Günther
McVittie's model , which interpolates between a Schwarzschild Black Hole and an expanding global (FLRW) spacetime, can be constructed by a simple coordinate replacement in Schwarzschild's isotropic intervall. Analogously, one gets a similarly generated exact solution of Einstein's equations based on a static transformation of de Sitter's metric, cf. . The present article is concerned with the application of this method on the AdS (Anti de Sitter) spacetime. Multiplying the radial coordinate and it's differential by a function a(t) gives the basic line element. Einstein's equations for the modified interval reduce to a system of two differential equations, which are solved in the article. The resulting solution is classified depending on the value of the cosmological constant. Several promising theories like String theorie and AdS/CFT correspondence  include spacetimes with higher dimensions. Thereby motivated, the previous results of this article are generalized to D dimensions in the last section.
Comments: 7 Pages.
[v1] 2018-06-27 17:28:19
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.