Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quintic quasi-topological gravity   We construct a quintic quasi-topological gravity in five dimensions, i.e. a
theory with a Lagrangian containing $\mathcal{R}^5$ 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 [gr-qc],
the general geometric structure of these Lagrangians remains an open problem.

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The categories of this paper are: econ
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
2
The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org