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Preprint

2012-10-17

Holography grew out of black hole thermodynamics, which relies on the causal structure
and general covariance of general relativity. In Einstein-{\ae}ther theory, a generally
covariant theory with a dynamical timelike unit vector, every solution breaks local
Lorentz invariance, thereby grossly modifying the causal structure of gravity. However,
there are still absolute causal boundaries, called "universal horizons", which are
not Killing horizons yet obey a first law of black hole mechanics and must have an
entropy if they do not violate a generalized second law. We couple a scalar field
to the timelike vector and show via the tunneling approach that the universal horizon
radiates as a blackbody at a fixed temperature, even if the scalar field equations
also violate local Lorentz invariance. This suggests that the class of holographic
theories may be much broader than currently assumed.

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David Mattingly, Ted Jacobson (2000)