Lorentz violation and black-hole thermodynamics

Details Lorentz violation and black-hole thermodynamics Lorentz violation and black-hole thermodynamics

2008-11-06

arxiv.org/abs/0811.0943v4

Nucl.Phys.B815:198-214,2009

Physics

High Energy Physics

High Energy Physics - Theory

28 pages; v4: published version

Scientific paper

10.1016/j.nuclphysb.2009.02.017

We consider nonstandard photons from nonbirefringent modified Maxwell theory and discuss their propagation in a fixed Schwarzschild spacetime background. This particular modification of Maxwell theory is Lorentz-violating and allows for maximal photon velocities differing from the causal speed c of the asymptotic background spacetime. In the limit of geometrical optics, light rays from modified Maxwell theory are found to propagate along null geodesics in an effective metric. We observe that not every Lorentz-violating theory with multiple maximal velocities different from the causal speed c modifies the notion of the event horizon, contrary to naive expectations. This result implies that not every Lorentz-violating theory with multiple maximal velocities necessarily leads to a contradiction with the generalized second law of thermodynamics.

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