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The horizon-entropy increase law for causal and quasi-local horizons and conformal field redefinitions

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons26313

Nielsen,  Alex B.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1103.2089
(Preprint), 229KB

CQG_28_17_175008.pdf
(Any fulltext), 252KB

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Citation

Faraoni, V., & Nielsen, A. B. (2011). The horizon-entropy increase law for causal and quasi-local horizons and conformal field redefinitions. Classical and quantum gravity, 28(17): 175008. doi:10.1088/0264-9381/28/17/175008.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-03F7-E
Abstract
We explicitly prove the horizon-entropy increase law for both causal and quasi-locally defined horizons in scalar-tensor and $f(R)$ gravity theories. Contrary to causal event horizons, future outer trapping horizons are not conformally invariant and we provide a modification of trapping horizons to complete the proof, using the idea of generalised entropy. This modification means they are no longer foliated by marginally outer trapped surfaces but fixes the location of the horizon under a conformal transformation. We also discuss the behaviour of horizons in "veiled" general relativity and show, using this new definition, how to locate cosmological horizons in flat Minkowski space with varying units, which is physically identified with a spatially flat FLRW spacetime.