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      Higher order gravities and the Strong Equivalence Principle

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          Abstract

          We show that, in all metric theories of gravity with a general covariant action, gravity couples to the gravitational energy-momentum tensor in the same way it couples to the matter energy-momentum tensor order by order in the weak field approximation around flat spacetime. We discuss the relation of this property to the Strong Equivalence Principle.

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          Superstring modifications of Einstein's equations

          David Gross, Edward Witten (1986)
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            Equivalence Principle for Massive Bodies. II. Theory

            Kenneth, Nordtvedt (1968)
            Article 0 comments Cited 161 times – based on 0 reviews     Review now
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              Gauss-Bonnet Black Holes in AdS Spaces

              Rong-Gen Cai (2001)
              We study thermodynamic properties and phase structures of topological black holes in Einstein theory with a Gauss-Bonnet term and a negative cosmological constant. The event horizon of these topological black holes can be a hypersurface with positive, zero or negative constant curvature. When the horizon is a zero curvature hypersurface, the thermodynamic properties of black holes are completely the same as those of black holes without the Gauss-Bonnet term, although the two black hole solutions are quite different. When the horizon is a negative constant curvature hypersurface, the thermodynamic properties of the Gauss-Bonnet black holes are qualitatively similar to those of black holes without the Gauss-Bonnet term. When the event horizon is a hypersurface with positive constant curvature, we find that the thermodynamic properties and phase structures of black holes drastically depend on the spacetime dimension \(d\) and the coefficient of the Gauss-Bonnet term: when \(d\ge 6\), the properties of black hole are also qualitatively similar to the case without the Gauss-Bonnet term, but when \(d=5\), a new phase of locally stable small black hole occurs under a critical value of the Gauss-Bonnet coefficient, and beyond the critical value, the black holes are always thermodynamically stable. However, the locally stable small black hole is not globally preferred, instead a thermal anti-de Sitter space is globally preferred. We find that there is a minimal horizon radius, below which the Hawking-Page phase transition will not occur since for these black holes the thermal anti de Sitter space is always globally preferred.
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                Author and article information

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                Publication date Created: 2017-05-09
                Article
                ArXiV ID: 1705.03495
                SO-VID: 3be3ffe7-2554-4af7-80d3-a7c6592d4e53
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Report No IFT-UAM/CSIC-17-032
                Comments 16 pages, no figures
                Categories gr-qc hep-th

                ScienceOpen disciplines: General relativity & Quantum cosmology,High energy & Particle physics
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                ScienceOpen disciplines: General relativity & Quantum cosmology, High energy & Particle physics

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