Quasilocal approach to general universal horizons

Maciel, Alan

doi:10.1103/physrevd.93.104013

Cited by 13 publications

(16 citation statements)

References 44 publications

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“…However, the generalization to other cases is straightforward. In particular, it was generalized in terms of an optical scalar built with the preferred flow defined by the preferred spacetime foliation [258].…”

Section: )mentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

184

194

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Hořava gravity at a Lifshitz point is a theory intended to quantize gravity by using techniques of traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been plaguing quantization of general relativity since the middle of 1970's, Hořava chose to break the Lorentz invariance by a Lifshitz-type of anisotropic scaling between space and time at the ultrahigh energy, while recovering (approximately) the invariance at low energies. With the stringent observational constraints and self-consistency, it turns out that this is not an easy task, and various modifications have been proposed, since the first incarnation of the theory in 2009. In this review, we shall provide a progress report on the recent developments of Hořava gravity. In particular, we first present four most-studied versions of Hořava gravity, by focusing first on their self-consistency and then their consistency with experiments, including the solar system tests and cosmological observations. Then, we provide a general review on the recent developments of the theory in three different but also related areas: (i) universal horizons, black holes and their thermodynamics; (ii) non-relativistic gauge/gravity duality; and (iii) quantization of the theory. The studies in these areas can be generalized to other gravitational theories with broken Lorentz invariance. CONTENTS

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Section: )mentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

184

194

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“…With this definition we will recover the same quasi-local characterization of universal horizons proposed in ref. [45]. As we will discuss in more detail below, one can check that this definition reduces to the standard definition of a universal horizon in static situations [45].…”

Section: Universally Marginally Trapped Surfacementioning

confidence: 96%

“…[45]. As we will discuss in more detail below, one can check that this definition reduces to the standard definition of a universal horizon in static situations [45]. First of all, let us remark that we can drop the index (i) in the definition above.…”

Section: Universally Marginally Trapped Surfacementioning

confidence: 97%

Geodesically complete black holes in Lorentz-violating gravity

Carballo-Rubio

Filippo

Liberati

et al. 2022

J. High Energ. Phys.

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We present a systematic study of the geometric structure of non-singular spacetimes describing black holes in Lorentz-violating gravity. We start with a review of the definition of trapping horizons, and the associated notions of trapped and marginally trapped surfaces, and then study their significance in frameworks with modified dispersion relations. This leads us to introduce the notion of universally marginally trapped surfaces, as the direct generalization of marginally trapped surfaces for frameworks with infinite signal velocities (Hořava-like frameworks), which then allows us to define universal trapping horizons. We find that trapped surfaces cannot be generalized in the same way, and discuss in detail why this does not prevent using universal trapping horizons to define black holes in Hořava-like frameworks. We then explore the interplay between the kinematical part of Penrose’s singularity theorem, which implies the existence of incomplete null geodesics in the presence of a focusing point, and the existence of multiple different metrics. This allows us to present a complete classification of all possible geometries that neither display incomplete physical trajectories nor curvature singularities. Our main result is that not all classes that exist in frameworks in which all signal velocities are realized in Hořava-like frameworks. However, the taxonomy of geodesically complete black holes in Hořava-like frameworks includes diverse scenarios such as evaporating regular black holes, regular black holes bouncing into regular white holes, and hidden wormholes.

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“…Note that, due to the fact that the speeds of the spin-0 and spin-1 gravitons can, in principle, be arbitrarily large, the boundaries of black holes in ae-theory are no longer the locations of the killing horizons, but the ones of the universal horizons, which are one-way membranes for particles moving with any speeds, including the speeds that are arbitrarily large. Universal horizons were first proposed in [38] (See also [39]), and recently have been extensively studied in [45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60] (For a recent review, see [10]).…”

Section: Introductionmentioning

confidence: 99%

Spherically Symmetric Exact Vacuum Solutions in Einstein-Aether Theory

2021

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We study spherically symmetric spacetimes in Einstein-aether theory in three different coordinate systems, the isotropic, Painlevè-Gullstrand, and Schwarzschild coordinates, in which the aether is always comoving, and present both time-dependent and time-independent exact vacuum solutions. In particular, in the isotropic coordinates we find a class of exact static solutions characterized by a single parameter c14 in closed forms, which satisfies all the current observational constraints of the theory, and reduces to the Schwarzschild vacuum black hole solution in the decoupling limit (c14=0). However, as long as c14≠0, a marginally trapped throat with a finite non-zero radius always exists, and on one side of it the spacetime is asymptotically flat, while on the other side the spacetime becomes singular within a finite proper distance from the throat, although the geometric area is infinitely large at the singularity. Moreover, the singularity is a strong and spacetime curvature singularity, at which both of the Ricci and Kretschmann scalars become infinitely large.

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Quasilocal approach to general universal horizons

Cited by 13 publications

References 44 publications

Hořava gravity at a Lifshitz point: A progress report

Hořava gravity at a Lifshitz point: A progress report

Geodesically complete black holes in Lorentz-violating gravity

Spherically Symmetric Exact Vacuum Solutions in Einstein-Aether Theory

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