Quintic quasi-topological gravity

A bstract We construct a quintic quasi-topological gravity in five dimensions, i.e. a theory with a Lagrangian containing ℛ 5 terms and whose field equations are of second order on spherically (hyperbolic or planar) symmetric spacetimes. These theories have recently received attention since when for...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2017; no. 4; pp. 1 - 18
Main Authors: Cisterna, Adolfo, Guajardo, Luis, Hassaïne, Mokhtar, Oliva, Julio
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2017
Springer Nature B.V
SpringerOpen
Subjects:
Asymptotic properties
Black Holes
Black holes (astronomy)
Classical and Quantum Gravitation
Classical Theories of Gravity
Couplings
Elementary Particles
Ghosts
Gravitation
High energy physics
Mathematical analysis
Mathematical models
Physics
Physics and Astronomy
Polynomials
Propagation modes
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Symmetry
Texts
Topology
Wave propagation
Classical Theories of Gravity
Black Holes
ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Summary:A bstract We construct a quintic quasi-topological gravity in five dimensions, i.e. a theory with a Lagrangian containing ℛ 5 terms and whose field equations are of second order on spherically (hyperbolic or planar) symmetric spacetimes. These theories have recently received attention since when formulated on asymptotically AdS spacetimes might provide for gravity duals of a broad class of CFTs. For simplicity we focus on five dimensions. We show that this theory fulfils a Birkhoff’s Theorem as it is the case in Lovelock gravity and therefore, for generic values of the couplings, there is no s -wave propagating mode. We prove that the spherically symmetric solution is determined by a quintic algebraic polynomial equation which resembles Wheeler’s polynomial of Lovelock gravity. For the black hole solutions we compute the temperature, mass and entropy and show that the first law of black holes thermodynamics is fulfilled. Besides of being of fourth order in general, we show that the field equations, when linearized around AdS are of second order, and therefore the theory does not propagate ghosts around this background. Besides the class of theories originally introduced in arXiv:1003.4773 , the general geometric structure of these Lagrangians remains an open problem.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2017)066