Probing foamy spacetime with Variational Methods

Abstract

A one-loop correction of the quasilocal energy in the Schwarzschild background, with flat space as a reference metric, is performed by means of a variational procedure in the Hamiltonian framework. We examine the graviton sector in momentum space, in the lowest possible state. An application to the black hole pair creation via the Casimir energy is presented. Implications on the foam-like scenario are discussed.

Revtex 3.0, 21 pages, to appear in Int. J. Mod. Phys. A

References in corpus (2)

• Quantization of Black Holes in the Wheeler-DeWitt Approach
• Space-time Foam, Casimir energy and black hole pair creation

Cited by in corpus (16)

• Self sustained phantom wormholes in semi-classical gravity
• Self-sustained traversable wormholes in noncommutative geometry
• The cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint
• Self Sustained Traversable Wormholes?
• A Spacetime Foam approach to the cosmological constant and entropy
• Self sustained traversable wormholes and the equation of state
• Entropy and the cosmological constant: a spacetime-foam approach
• Casimir energy and black hole pair creation in Schwarzschild-de Sitter spacetime
• Gravity's Rainbow induces Topology Change
• A Spacetime Foam Approach to the Schwarzschild-de Sitter Entropy
• Casimir energy and variational methods in AdS spacetime
• Entropy from the foam II
• Space Time Foam: a ground state candidate for Quantum Gravity
• Partition function of massless scalar field in Schwarzschild background
• Spacetime Foam and the Casimir Energy
• Probing Vacuum with Variational Methods in Quantum Gravity