Causality and black holes in spacetimes with a preferred foliation

Bhattacharyya, Jishnu; Colombo, Mattia; Sotiriou, Thomas P.

doi:10.1088/0264-9381/33/23/235003

Cited by 48 publications

(84 citation statements)

References 110 publications

(401 reference statements)

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“…In Refs. [38,[46][47][48] it is showed that in a LIV scenario, where there are different horizons for particles with different energies, there is a violation of the second law of the black hole thermodynamics making possible a construction of a perpetuum mobile (see however [49] for a possible resolution of this problem). We see that in contrast with LIV scenarios, in our case there is a unique horizon, which is consistent with the fact that in DSR framework there is a relativity principle.…”

Section: B Event Horizonmentioning

confidence: 99%

Phenomenological consequences of a geometry in the cotangent bundle

Relancio

Liberati

2020

Phys. Rev. D

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A deformed relativistic kinematics can be understood within a geometrical framework through a maximally symmetric momentum space. However, when considering this kind of approach, usually one works in a flat spacetime and in a curved momentum space. In this paper, we will discuss a possible generalization to take into account both curvatures and some possible observable effects. We will first explain how to construct a metric in the cotangent bundle in order to have a curved spacetime with a nontrivial geometry in momentum space and the relationship with an action in phase space characterized by a deformed Casimir. Then, we will study within this proposal two different space-time geometries. In the Friedmann-Robertson-Walker universe, we will see the modifications in the geodesics (redshift, luminosity distance and geodesic expansion) due to a momentum dependence of the metric in the cotangent bundle. Also, we will see that when the spacetime considered is a Schwarzschild black hole, one still has a common horizon for particles with different energies, differently from a Lorentz invariance violation case. However, the surface gravity computed as the peeling off of null geodesics is energy dependent. * relancio@unizar.es,liberati@sissa.it 1 See however [14] for an alternative scenario.

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Section: B Event Horizonmentioning

confidence: 99%

Phenomenological consequences of a geometry in the cotangent bundle

Relancio

Liberati

2020

Phys. Rev. D

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“…A further generalization to spacetimes with a preferred foliation (1.1) was carried out systematically [24], and shown that, among other things, the zeroth law of black hole mechanics holds at universal horizons.…”

Section: Introductionmentioning

confidence: 99%

No static black hole hairs in gravitational theories with broken Lorentz invariance

et al. 2017

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In this paper, we revisit the issue of static hairs of black holes in gravitational theories with broken Lorentz invariance in the case that the speed c φ of the khronon field becomes infinitely large, c φ = ∞, for which the sound horizon of the khronon field coincides with the universal horizon, and the boundary conditions at the sound horizon reduce to those given normally at the universal horizons. As a result, less boundary conditions are present in this extreme case in comparison with the case c φ = finite. Then, it would be expected that static hairs might exist. However, we show analytically that even in this case static hairs still cannot exist, based on a decoupling limit analysis. We also consider the cases in which c φ is finite but with c φ 1, and obtain the same conclusion.

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“…V A-V C? We looked for a first law in the form (1). The fourdimensional asymptotically flat case is encouraging, because the proportionality between S UH and the area of the UH suggests that T-theory respects a form of holographic principle.…”

Section: Discussionmentioning

confidence: 99%

First law of black holes with a universal horizon

Pacilio

Liberati

2017

Phys. Rev. D

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In Lorentz violating theories of gravitation with a preferred foliation a notion of black hole is still possible, despite the presence of infinitely fast propagating modes. Such event horizons are known as universal horizons. Their discovery poses the question of whether they satisfy mechanical laws, analogous to the ones of Killing horizons in Lorentz symmetric theories, and whether they admit a thermodynamical interpretation. In this paper we study the viability of the first law for several exact universal horizon solutions previously derived in the literature. Our results show that a simple mechanical and thermodynamical interpretation is problematic in these cases, and call for a more systematic study of rotating universal horizons.

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Causality and black holes in spacetimes with a preferred foliation

Cited by 48 publications

References 110 publications

Phenomenological consequences of a geometry in the cotangent bundle

Phenomenological consequences of a geometry in the cotangent bundle

No static black hole hairs in gravitational theories with broken Lorentz invariance

First law of black holes with a universal horizon

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