Questions tagged [anti-de-sitter-spacetime]

Anti-de-Sitter (AdS) spacetime is a spacetime with a constant negative Ricci Scalar.

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How to obtain the metric(s) from an action?

So I am confused about dimensional reduction. Because most litterature that I have found so far jump over the steps where they obtain the corresponding metric(s) from some action. In particular, I ...
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Solving Schwarzian derivative differential equation in Hollowood & Kumar paper

I Was re-deriving Hollowood & Kumar paper (here is arXiv link of it) which is about Anti-De Sitter Black-Holes with JT Gravity, anyway I got a problem with solving a schwarzian derivative ...
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How to derive the AdS spacetime metric

So I have been working on AdS/CFT for a while now and realized that I have never actually seen the derivation for the metric. In every literature, introductory or advanced, they just give you the AdS ...
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Is there any place in an AdS Universe with positive spacial curvature?

An AdS space has constant negative curvature, gravitational objects introduce more negative curvature. Therefor it seems like it is possible that everywhere in the Universe has negaative curvature (...
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Two-twistors formulation vs twistors formulation

I have seen in some research work that the classic formulation using twistors (introduced by Penrose) is replaced with a formulation that considers two-twistors. For example the linking article says ...
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In his TASI notes Oliver DeWolfe starts with the KG equation on the Poincaré patch metric $$ds^2=\frac{r^2}{L^2}(-dt^2+dx^2)+\frac{L^2}{r^2}dr^2.$$ When we use the ansatz$$\phi(r\rightarrow\infty,x,... 1answer 54 views Superluminal speed in anti de sitter This a bit of an elementary question, but I would like to understand how one correctly computes velocities in anti de sitter. It is well known that photons, traveling on null geodesics, will actually ... 1answer 196 views Criterion for a black hole in Anti-de Sitter background Consider a Schwarzschild-Anti de Sitter (SAdS) metric$$ds^2=-(1-\frac{2M}{r}+ k\, r^2 )\, dt^2+\frac{dr^2}{1-\frac{2M}{r}+k \,r^2}+r^2 d\Omega_2^2,  with $M,k>0$. This solution has only ...
I was going through Witten's paper on AdS and holography , and am confused in section 2.4. He starts by considering a massless scalar action in Euclidean AdS spacetime, with a boundary value $\phi_0$. ...