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Holography grew out of black hole thermodynamics, which relies on the causal structure and general covariance of general relativity. In Einstein-{\ae}ther theory, a generally covariant theory with a dynamical timelike unit vector, every…

High Energy Physics - Theory · Physics 2013-03-14 Per Berglund , Jishnu Bhattacharyya , David Mattingly

Black hole thermodynamics in Lorentz-violating gravity is subtle because different excitations propagate at different speeds and hence identify different causal horizons. We revisit Einstein--AEther gravity using the covariant phase space…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Walter Arata , Stefano Liberati , Giulio Neri

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…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Stefano Liberati , Costantino Pacilio

Violating Lorentz-invariance, and so implicitly permitting some form of superluminal communication, necessarily alters the notion of a black hole. Nevertheless, in both Einstein-{\AE}ther gravity, and Ho\v{r}ava-Lifshitz gravity, there is…

General Relativity and Quantum Cosmology · Physics 2014-03-31 Bethan Cropp , Stefano Liberati , Arif Mohd , Matt Visser

Modified gravity models such as Ho\v{r}ava-Lifshitz gravity or Einstein-{\ae}ther theory violate local Lorentz invariance and therefore destroy the notion of a universal light cone. Despite this, in the infrared limit both models above…

High Energy Physics - Theory · Physics 2013-05-30 Per Berglund , Jishnu Bhattacharyya , David Mattingly

A key consequence of Lorentz-violating gravity is the emergence of modified dispersion relations implying the absence of a universal maximum propagation speed. This challenges the conventional notion of the event horizon as a causal…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Francesco Del Porro , Stefano Liberati , Jacopo Mazza

We investigate thermodynamic behaviors of the $D$-dimensional gravity coupled to a dynamical unit timelike vector, the aether, present two kinds of exact charged solutions and study the linearized wave spectrum of this theory. There is an…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Chikun Ding , Anzhong Wang

Black holes in Lorentz violating gravity, such as Einstein--Aether or Horava--Lifshitz Gravity, are drastically different from their general relativistic siblings. Although they allow for superluminal motion in their vicinity, they still…

General Relativity and Quantum Cosmology · Physics 2022-09-30 F. Del Porro , M. Herrero-Valea , S. Liberati , M. Schneider

Universal horizons in Ho\v{r}ava-Lifshitz gravity and Einstein-{\ae}ther theory are the equivalent of causal horizons in general relativity and appear to have many of the same properties, including a first law of horizon thermodynamics and…

High Energy Physics - Theory · Physics 2015-06-22 Jishnu Bhattacharyya , David Mattingly

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…

General Relativity and Quantum Cosmology · Physics 2025-04-23 F. Del Porro , M. Herrero-Valea , S. Liberati , M. Schneider

The Noether charge method for defining the Hamiltonian of a diffeomorphism-invariant field theory is applied to "Einstein-aether" theory, in which gravity couples to a dynamical, timelike, unit-norm vector field. Using the method,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Brendan Z. Foster

Using the solution phase space method, we investigate the thermodynamics of black holes in Einstein-aether-Maxwell theory, for which the traditional Wald method (covariant phase space method) fails. We show the first laws of thermodynamics…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Hai-Feng Ding , Xiang-Hua Zhai

In Einstein-aether theory, violating Lorentz invariance permits some super-luminal communications, and the universal horizon can trap excitations traveling at arbitrarily high velocities. To better understand the nature of these universal…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Chikun Ding , Changqing Liu

Thermodynamical properties of black holes in gravitational theories without Local Lorentz invariance have been subject to intense investigation in the past years due to the presence of universal horizons, which are strong causal barriers…

General Relativity and Quantum Cosmology · Physics 2017-06-20 Costantino Pacilio , Stefano Liberati

Is Cosmic Censorship special to General Relativity, or can it survive a violation of equivalence principle? Recent studies have shown that singularities in Lorentz violating Einstein-Aether (or Horava-Lifhsitz) theories can lie behind a…

General Relativity and Quantum Cosmology · Physics 2016-05-11 Michael Meiers , Mehdi Saravani , Niayesh Afshordi

In classical general relativity described by Einstein-Hilbert gravity, black holes behave as thermodynamic objects. In particular, the laws of black hole mechanics can be interpreted as laws of thermodynamics. The first law of black hole…

High Energy Physics - Theory · Physics 2017-04-05 Sayantani Bhattacharyya , Felix M. Haehl , Nilay Kundu , R. Loganayagam , Mukund Rangamani

We analyze several spherically symmetric exterior vacuum solutions allowed by the Einstein-Aether (EA) theory with a non static aether and study the thermodynamics of their Killing and universal horizons. We show that there are five classes…

General Relativity and Quantum Cosmology · Physics 2022-11-09 R. Chan , M. F. A. da Silva , V. H. Satheeshkumar

The violation of Lorentz invariance (LI) in gravitational theories, which allows superluminal propagations, dramatically alters the causal structure of the spacetime and modifies the notion of black holes (BHs). Instead of metric horizons,…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Chao Zhang , Anzhong Wang , Tao Zhu

The persistence of a suitable notion of black hole thermodynamics in Lorentz breaking theories of gravity is not only a non-trivial consistency test for such theories, it is also an interesting investigation {\em per se}, as it might help…

General Relativity and Quantum Cosmology · Physics 2021-05-12 Mario Herrero-Valea , Stefano Liberati , Raquel Santos-Garcia

Einstein gravities in general dimensions coupled to a cosmological constant and extended with quadratic curvature invariants admit a variety of black holes that may asymptote to Minkowski, anti-de Sitter or Lifshitz spacetimes. We adopt the…

High Energy Physics - Theory · Physics 2015-03-11 Zhong-Ying Fan , H. Lu
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