Investigating stability of a class of black hole spacetimes under Ricci flow

Details Investigating stability of a class of black hole spacetimes under Ricci flow Investigating stability of a class of black hole spacetimes under Ricci flow

2009-12-06

arxiv.org/abs/0912.1119v2

Class.Quant.Grav.27:075012,2010

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTeX, typos corrected, version to appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/27/7/075012

We prove the linear stability of Schwarzschild-Tangherlini spacetimes and their Anti-de Sitter counterparts under Ricci flow for a special class of perturbations. This is useful in the choice of suitable initial conditions in numerical Ricci-flow-based algorithms for obtaining new solutions to the Einstein equation when the cosmological constant is zero or negative. The Ricci flow is a first-order renormalization group (RG) flow in string theory, and its solutions are believed to approximate string field theory processes in certain cases. Thus this result offers insights into the off-shell stability of these Euclidean black hole geometries in string theory, as well as in the Euclidean path integral approach to quantum gravity.

Affiliated with

Also associated with

No associations

Rating

Investigating stability of a class of black hole spacetimes under Ricci flow does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Investigating stability of a class of black hole spacetimes under Ricci flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Investigating stability of a class of black hole spacetimes under Ricci flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-84167