Asymptotically hyperbolic black holes in Horava gravity

Stefan Janiszewski

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Asymptotically hyperbolic black holes in Horava gravity

Stefan Janiszewski

High Energy Physics - Theory · Submitted 6 Jan 2014

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Both analytic and numeric solutions are studied which exhibit a causal boundary called the universal horizon, and are therefore black holes of the theory.

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Solutions of Horava gravity that are asymptotically Lifshitz are explored. General near boundary expansions allow the calculation of the mass of these spacetimes via a Hamiltonian method. Both analytic and numeric solutions are studied which exhibit a causal boundary called the universal horizon, and are therefore black holes of the theory. The thermodynamics of an asymptotically Anti-de Sitter Horava black hole are verified.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Solutions of Horava gravity that are asymptotically Lifshitz are explored.	contribution 0.86	0.74	0.08	asserted 0.90
s1	General near boundary expansions allow the calculation of the mass of these spacetimes via a Hamiltonian method.	method 0.97	0.79	0.09	asserted 0.99
s2	Both analytic and numeric solutions are studied which exhibit a causal boundary called the universal horizon, and are therefore black holes of the theory.	result 0.74	0.86	0.46	asserted 1.00
s3	The thermodynamics of an asymptotically Anti-de Sitter Horava black hole are verified.	result 0.88	0.83	0.17	asserted 1.00

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Original abstract

Solutions of Horava gravity that are asymptotically Lifshitz are explored. General near boundary expansions allow the calculation of the mass of these spacetimes via a Hamiltonian method. Both analytic and numeric solutions are studied which exhibit a causal boundary called the universal horizon, and are therefore black holes of the theory. The thermodynamics of an asymptotically Anti-de Sitter Horava black hole are verified.

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References

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17 arXiv papers cite this in 59 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 48 sentences without a confident label

Compares with it 3 papers

But, in [ref] the khronon was considered as a part of the gravitational field, although in some cases their effects on the gravitational fields were assumed to be negligible.

Universal horizons and black holes in gravitational theories with broken Lorentz symmetry · Causal Structure of Gravitational Theories with Broken Lorentz Symmetry and Universal Horizons · 0.92
This agrees with the value found by the on-shell Hamiltonian analysis in [ref] .

Horava-Lifshitz Black Hole Hydrodynamics · Equilibrium solution · 0.98
The resulting solution will depend on one free parameter $ρ_0$ (similar to the Schwarzschild solution in GR, asymptotically flat Einstein-aether black holes in [ref] and finally the $z=1$ solution found in [ref] ).

New Asymptotically Lifshitz Black Holes in Horava gravity · Asymptotically Lifshitz Black Holes for $z ≠1$ · 0.89

Cites it as background 6 papers

Asymptotically Lifshitz solutions were first studied in detail in [ref] in four-dimensional spacetime ($D=3$) by expanding the field equations in a power series around $r = 1/ρ= 0$.

New Asymptotically Lifshitz Black Holes in Horava gravity · Lifshitz Asymptotic Solutions · 0.95
This has immediately attracted lot of attentions [ref] .

Universal horizons and black holes in gravitational theories with broken Lorentz symmetry · Introduction · 0.85
So far, several exact black hole solutions with UH have been found in LV gravitational theories, including four-dimensional static asymptotically flat solutions of aether theory and Hořava gravity [ref] , four-dimensional static asymptotically (anti-) de sitter (Ads) solutions [ref] , three-dimensional fully rotating solution of infrared (IR) limit of Hořava gravity [ref] in the branch $c_14=0$, the black brane solutions with asymptotically Lifshitz property [ref] , charged static solutions in 3 and 4 dimensional [ref] , and the generalization to D dimensional static charged solutions [ref] .

Entropies and The First Laws of Black Hole Thermodynamics in Einstein-aether-Maxwell Theory · Introduction · 0.92

What it cites · 33 sentences without a confident label

Cites as support 3 papers

Given that these spacetimes are vacuum solutions of Hořava gravity lends evidence to the proposal that this alternate theory of gravity is dual to generic NR QFTs [ref] .

Non-relativistic holography from Horava gravity · Discussion · 0.97
Given that these spacetimes are vacuum solutions of Hořava gravity lends evidence to the proposal that this alternate theory of gravity is dual to generic NR QFTs [ref] .

String theory embeddings of non-relativistic field theories and their holographic Horava gravity duals · Discussion · 0.97
Given that these spacetimes are vacuum solutions of Hořava gravity lends evidence to the proposal that this alternate theory of gravity is dual to generic NR QFTs [ref] .

Lifshitz Gravity for Lifshitz Holography · Discussion · 0.97

Cites as background 5 papers

Hořava gravity is an alternate theory of gravity [ref] .

Quantum Gravity at a Lifshitz Point · Hořava gravity · 1.00
The low energy action of Hořava gravity is expressed in terms of these fields as [ref] [Note that our coupling constants are not the same as [ref] , despite identical names.]: [equation] where $K_IJ≡1/2N(_̣t G_IJ-∇_I N_J-∇_J N_I)$ is the extrinsic curvature of the leaves of the foliation, $R$ is the Ricci scalar of the spatial metric $G_IJ$, $G$ is its determinant, and $Λ$ is the cosmological constant.

Lifshitz Gravity for Lifshitz Holography · Hořava gravity · 0.81
This scalar field $ϕ$ is called the khronon [ref] and its level sets define the leaves of the foliation.

Models of non-relativistic quantum gravity: the good, the bad and the healthy · Khronon formalism · 0.85

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