Quantum effects across dynamical horizons

Giavoni, Cecilia; Schneider, Marc

doi:10.1088/1361-6382/abb576

Cited by 8 publications

(16 citation statements)

References 53 publications

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“…On its own, this formalism has various applications, e.g. it can be used to study systems where evolution on null paths is favored, such as gravitational tunneling across horizons [28]. One objective of this article was to test the hypothesis of incompleteness by using quantum fields as probing devices.…”

Section: Discussionmentioning

confidence: 99%

Quantum probing of null-singularities

Sachs,

Schneider,

Urban

2021

Preprint

Self Cite

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Section: Discussionmentioning

confidence: 99%

Quantum probing of null-singularities

Sachs,

Schneider,

Urban

2021

Preprint

Self Cite

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“…Most importantly, it will helps us clarifying how the tunneling paths are identified, the Hamilton-Jacobi method to describe the tunneling rate, and the consistency criterion for a well-defined Hawking effect. Our review is based on [13], which discusses the relativistic framework generically also for dynamical cases.…”

Section: Relativistic Tunnelingmentioning

confidence: 99%

“…where P denotes the Cauchy principal value. An alternative path can be taken by complexifying the Hamilton-Jacobi equation by introducing the Feynman ±iε-prescription [13]. [26].…”

Section: A Gravitational Tunnelingmentioning

confidence: 99%

“…Thus, whenever Im(S 0 ) ∝ Ω, we can read off a horizon temperature from the tunneling rate. However, the thermodynamics is only well-defined whenever the imaginary part is semi-positive definite [13] Im(S 0 ) > 0, (17) otherwise the process leads to inconsistencies such as the violation of the probabilistic interpretation. In the subsequent analysis we will show the robustness of this criterion even in Lorentz-violating theories, which underlines the resilience of thermodynamic properties and the generality of the analysis in [13].…”

Section: A Gravitational Tunnelingmentioning

confidence: 99%

“…Due to its very explicit usage of the paths across the horizon, the tunneling picture allows to find generalizations in a very systematic way [11,12]. It also suggests a generalized notion of the Hawking effect [13] that applies to all types of horizons, dynamical and static, and draws a connection to the consistency of quantum field theory.…”

Section: Introductionmentioning

confidence: 99%

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Gravitational Tunneling in Lorentz Violating Gravity

Porro¹,

M.²,

Liberati³

et al. 2022

Preprint

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Black holes in Lorentz violating gravity, such as Einstein-Aether or Hořava-Lifshitz Gravity, are drastically different from their general relativistic siblings. Although they allow for superluminal motion in their vicinity, they still exhibit an absolute causal boundary in the form of a universal horizon. By working in the tunneling picture for a gravitating scalar field, we show that universal horizons emit Hawking radiation in a manner akin to standard results in General Relativity, with a temperature controlled by the high-energy behavior of the dispersion relation of the gravitating field, and in agreement with alternative derivations in the literature. Our results substantiate the link between the universal horizon and thermodynamics in Lorentz violating theories.

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Hawking radiation in Lorentz violating gravity: a tale of two horizons

Del Porro,

Herrero-Valea,

Liberati

et al. 2023

J. High Energ. Phys.

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Since their proposal, Lorentz violating theories of gravity have posed a potential threat to black hole thermodynamics, as superluminal signals appeared to be incompatible with the very black hole notion. Remarkably, it was soon realized that in such theories causally disconnected regions of space-time can still exist thanks to the presence of universal horizons: causal barriers for signals of arbitrary high speed. Several investigations, sometimes with contrasting results, have been performed so to determine if these horizons can be associated with healthy thermodynamic properties similar to those associated with Killing horizons in General Relativity. In this work we offer what we deem to be the final picture emerging from this and previous studies. In summary we show that: 1) there is a thermal, and most of all species-independent, emission associated to universal horizons, determined by their surface gravity; 2) due to the modified dispersion relation of the matter fields, the low energy part of the emitted spectrum is affected by the presence of the Killing horizon, in a way similar to an effective refractive index, leading at low energies (w.r.t. the Lorentz breaking scale) to an emission that mimics a standard Hawking spectrum (i.e. one determined by the Killing horizon surface gravity); 3) the whole picture is compatible with a globally well defined vacuum state i.e. an Unruh state associated with preferred observers, which however at very low energies it is basically indistinguishable from the standard Unruh vacuum associated to metric free-falling observers. One can then conclude that Hawking radiation is remarkably resilient even within the context of gravitational theories entailing the breakdown of local Lorentz invariance.

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Quantum effects across dynamical horizons

Cited by 8 publications

References 53 publications

Quantum probing of null-singularities

Quantum probing of null-singularities

Gravitational Tunneling in Lorentz Violating Gravity

Hawking radiation in Lorentz violating gravity: a tale of two horizons

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