Casimir energy and variational methods in AdS spacetime

Details Casimir energy and variational methods in AdS spacetime Casimir energy and variational methods in AdS spacetime

2000-06-21

arxiv.org/abs/gr-qc/0006076v1

Class.Quant.Grav. 17 (2000) 3335-3352

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Submitted to Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/17/16/316

Following the subtraction procedure for manifolds with boundaries, we calculate by variational methods, the Schwarzschild-Anti-de Sitter and the Anti-de Sitter space energy difference. By computing the one loop approximation for TT tensors we discover the existence of an unstable mode at zero temperature, which can be stabilized by the boundary reduction method. Implications on a foam-like space are discussed.

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