Entropy bound and causality violation in higher curvature gravity

DOI10.1088/0264-9381/26/1/015013zbMATH Open1157.83348arXiv0808.1919OpenAlexW3102279895MaRDI QIDQ5505635

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Publication date: 27 January 2009

Published in: (Search for Journal in Brave)

Abstract: In any quantum theory of gravity we do expect corrections to Einstein gravity to occur. Yet, at fundamental level, it is not apparent what the most relevant corrections are. We argue that the generic curvature square corrections present in lower dimensional actions of various compactified string theories provide a natural passage between the classical and quantum realms of gravity. The Gauss-Bonnet and $(mRiemann{)}^2$ gravities, in particular, provide concrete examples in which inconsistency of a theory, such as, a violation of microcausality, and a classical limit on black hole entropy are correlated. In such theories the ratio of the shear viscosity to the entropy density, $eta/s$, can be smaller than for a boundary conformal field theory with Einstein gravity dual. This result is interesting from the viewpoint that the nuclear matter or quark-gluon plasma produced (such as at RHIC) under extreme densities and temperatures may violate the conjectured bound $eta/sge1/4pi$, {it albeit} marginally so.

Full work available at URL: https://arxiv.org/abs/0808.1919

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