Varying Constants, Black Holes, and Quantum Gravity

Details Varying Constants, Black Holes, and Quantum Gravity Varying Constants, Black Holes, and Quantum Gravity

2002-09-04

arxiv.org/abs/gr-qc/0209014v4

Phys.Rev.D67:023507,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTeX; v4: substantially rewritten to emphasize assumptions and ``loopholes,'' but basic conclusions unchanged; to a

Scientific paper

10.1103/PhysRevD.67.023507

Tentative observations and theoretical considerations have recently led to renewed interest in models of fundamental physics in which certain ``constants'' vary in time. Assuming fixed black hole mass and the standard form of the Bekenstein-Hawking entropy, Davies, Davis and Lineweaver have argued that the laws of black hole thermodynamics disfavor models in which the fundamental electric charge $e$ changes. I show that with these assumptions, similar considerations severely constrain ``varying speed of light'' models, unless we are prepared to abandon cherished assumptions about quantum gravity. Relaxation of these assumptions permits sensible theories of quantum gravity with ``varying constants,'' but also eliminates the thermodynamic constraints, though the black hole mass spectrum may still provide some restrictions on the range of allowable models.

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