Casimir energy and variational methods in AdS spacetime

Abstract

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.

Submitted to Classical and Quantum Gravity

References in corpus (3)

• Improved Precision Measurement of the Casimir Force
• Dynamic and Thermodynamic Stability and Negative Modes in Schwarzschild-Anti-de Sitter
• Entropy from the foam

Cited by in corpus (6)

• Stable Black Strings in Anti-de Sitter Space
• The cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint
• A noncommutative approach to the cosmological constant problem
• Casimir energy and black hole pair creation in Schwarzschild-de Sitter spacetime
• Gravity's Rainbow induces Topology Change
• Entropy from the foam II