Multigravity and Space Time Foam

Details Multigravity and Space Time Foam Multigravity and Space Time Foam

2006-12-06

arxiv.org/abs/gr-qc/0612039v1

J.Phys.A40:7055-7060,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages. Talk given at IRGAC-2006 (Barcelona, July 11-15, 2006), accepted for publication in Journal of Physics A and extended

Scientific paper

10.1088/1751-8113/40/25/S61

We consider a multigravity approach to spacetime foam. As an application we give indications on the computation of the cosmological constant, considered as an eigenvalue of a Sturm-Liouville problem. A variational approach with Gaussian trial wave functionals is used as a method to study such a problem. We approximate the equation to one loop in a Schwarzschild background and a zeta function regularization is involved to handle with divergences. The regularization is closely related to the subtraction procedure appearing in the computation of Casimir energy in a curved background. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation.

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