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In the Master's thesis of the author, we investigate certain aspects of gravitational physics that emerge from stochastic toy models of holographic gauge theories. We begin by reviewing field theory thermodynamics, black hole thermodynamics…

High Energy Physics - Theory · Physics 2014-07-16 Connor Behan

In accordance with current models of the accelerating Universe as a spacetime with a positive cosmological constant, new results about a cosmological upper bound for the area of stable marginally outer trapped surfaces are found taking into…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Tetsuya Shiromizu , Keisuke Izumi , Kangjae Lee , Diego Soligon

The Standard Model of particle physics predicts the speed of light to be a universal speed of propagation of massless carriers. However, other possibilities exist -- including Lorentz-violating theories -- where different fundamental fields…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Vitor Cardoso , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi

Dynamical dark energy theories generically introduce a time-dependent field that causes the accelerated expansion of the Universe on large scales. When embedding black hole solutions in such a cosmological spacetime, this time dependence…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Laurens Smulders , Johannes Noller

In a recent paper it was suggested that some multi-black hole solutions in five or more dimensions have horizons that are not smooth. These black hole configurations are solutions to $d$-dimensional Einstein gravity (with no dilaton) and…

High Energy Physics - Theory · Physics 2016-08-24 Dean L. Welch

We present techniques for long-term, stable, and accurate evolutions of multiple-black-hole spacetimes using the `moving puncture' approach with fourth- and eighth-order finite difference stencils. We use these techniques to explore…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos O. Lousto , Yosef Zlochower

In this paper we describe a model of a four-dimensional spherically symmetric black hole in a limiting curvature theory of gravity. In this theory the Einstein-Hilbert action is modified by adding to the action terms providing inequality…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Valeri P. Frolov , Andrei Zelnikov

We make an extensive study of evolution of gravitational perturbations of D-dimensional black holes in Gauss-Bonnet theory. There is an instability at higher multi-poles $\ell$ and large Gauss-Bonnet coupling $\alpha$ for $D= 5, 6$, which…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Konoplya , A. Zhidenko

Five-dimensional cosmological models with two 3-branes and with a buck cosmological constant are studied. It is found that for all the three cases ($\Lambda =0$, $\Lambda >0$, and $\Lambda <0$), the conventional space-time singularity ``big…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hongya Liu

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the analysis of fields on black hole backgrounds.…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Lars Andersson , Thomas Bäckdahl , Pieter Blue

We study slowly rotating four-dimensional black holes with flat horizon structure in scale-dependent gravity. First we obtain the solution, and then we study thermodynamic properties as well as the invariants of the theory. The impact of…

General Relativity and Quantum Cosmology · Physics 2020-10-01 Angel Rincon , Grigoris Panotopoulos

We propose a family of dilaton gravity models possessing bouncing solutions with interiors connecting separate asymptotically flat regions. We demonstrate that inner Cauchy horizons are stable given certain initial conditions. We study…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Maxim Fitkevich

The stability under small time perturbations of the dilatonic black hole solution near the determinant curvature singularity is proved. This fact gives the additional arguments that the investigated topological configuration can realise in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. Khovanskaya

In the presence of non-minimal gravitational couplings, matter field perturbations on a static black hole spacetime may develop unphysical poles in their linearized equations. Physical solutions confined in the domain between the event…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Hsu-Wen Chiang , Sebastian Garcia-Saenz , Aofei Sang

The existence of black holes is a central prediction of general relativity and thus serves as a basic consistency test for modified theories of gravity. In spherical symmetry, only two classes of dynamic solutions are compatible with the…

General Relativity and Quantum Cosmology · Physics 2022-03-01 Sebastian Murk

We study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons. We obtain a solution in terms of an infinite power-series expansion around the horizon, which is characterized by two…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Alena Pravdova , Vojtech Pravda , Marcello Ortaggio

We study stability of occurrence of black holes and naked singularities that arise as a final state for a complete gravitational collapse of type I matter field in a spherically symmetric $N$ dimensional spacetime with equation of state $p…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Sanjay Sarwe , R. V. Saraykar

These lectures review some of the recent progress in uncovering the phase structure of black hole solutions in higher-dimensional vacuum Einstein gravity. The two classes on which we focus are Kaluza-Klein black holes, i.e. static solutions…

High Energy Physics - Theory · Physics 2009-01-28 Niels A. Obers

By using the canonical Hamiltonian method, we obtain the mass and entropy of the black holes with general dynamical coupling constant $\lambda$ in Ho\v{r} ava-Lifshitz Gravity. Regardless of whether the horizon is sphere, plane or…

High Energy Physics - Theory · Physics 2009-09-28 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

We employ the recently proposed formalism of the "horizon wave-function" to investigate the emergence of a horizon in models of black holes as Bose-Einstein condensates of gravitons. We start from the Klein-Gordon equation for a massless…

High Energy Physics - Theory · Physics 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi