Casimir Energy and the Cosmological Constant

Details Casimir Energy and the Cosmological Constant Casimir Energy and the Cosmological Constant

2004-09-03

arxiv.org/abs/gr-qc/0409016v1

TSPU Vestnik (2004) 44N7:72

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, RevTeX 4, to appear in TSPU Vestnik

Scientific paper

We regard the Wheeler-De Witt equation as a Sturm-Liouville problem with the cosmological constant considered as the associated eigenvalue. The used method to study such a problem is a variational approach with Gaussian trial wave functionals. We approximate the equation to one loop in a Schwarzschild background. 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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