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In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

In this paper, we will consider a subclass of models of Horndeski theories of gravity and we will check for several Static Spherically Symmetric solutions. We will find a model which admits an exact black hole solution and we will study its…

General Relativity and Quantum Cosmology · Physics 2018-07-31 Lorenzo Sebastiani

We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Bruno C. Mundim , Hiroyuki Nakano , Nicolás Yunes , Manuela Campanelli , Scott C. Noble , Yosef Zlochower

In this article we analyze the behavior of a non-relativistic spinless particle near the event horizon of a Schwarzschild-like black hole. In this way, the Schr\"odinger covariant equation that describes the particle is obtained from the…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Ronni Amorim , Vinicius Rispoli , Sérgio Ulhoa , Kayo Araújo

The search for solutions of Einstein's equations representing relativistic cosmological models with a discrete matter content has been remarkably fruitful in the last decade. In this review we discuss the progress made in the study of a…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Eloisa Bentivegna , Timothy Clifton , Jessie Durk , Mikołaj Korzyński , Kjell Rosquist

We investigate the complete family of (aligned) Robinson-Trautman spacetimes sourced by conformally invariant non-linear electrodynamics in $D$ dimensions in the presence of an arbitrary cosmological constant. After presenting general…

General Relativity and Quantum Cosmology · Physics 2021-12-24 David Kokoška , Marcello Ortaggio

We consider a broad class of static, spherically symmetric generalized Schwarzschild-like solutions with multiple non-interacting anisotropic fluid sources and derive the coordinate transformation from Schwarzschild-like (curvature) to…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Zeyu Zeng , Elena Kopteva

We study the geodesics of charged black holes in polynomial Maxwell Lagrangians, a subclass of models within the nonlinear electrodynamics (NLED). Specifically, we consider black holes in Kruglov, power-law, and Ayon-Beato-Garcia models.…

General Relativity and Quantum Cosmology · Physics 2020-07-08 A S. Habibina , H. S. Ramadhan

In this work, we start by examining a spherically symmetric black hole within the framework of non-commutative geometry and apply a modified Newman-Janis method to obtain a new rotating solution. We then investigate its consequences,…

General Relativity and Quantum Cosmology · Physics 2025-01-07 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio , Ali Övgün

For the static spherically symmetric dilatonic black hole described by the Gibbons-Maeda-Garfinkle-Horowitz-Strominger geometry, we analyze the timelike trajectories for electrically charged test particles. Both cases of an electric black…

High Energy Physics - Theory · Physics 2024-05-14 Vitalie Lungu , Marina-Aura Dariescu , Ciprian Dariescu , Cristian Stelea

We construct analogues for the quantum phenomena of black hole radiation in the context of {\it classical field theory}. Hawking radiation from a (radially) collapsing star is mathematically equivalent to radiation from a mirror moving…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. Srinivasan , T. Padmanabhan

We introduce the concept of effective geometry by studying several systems in which it arises naturally. As an example of the power and conciseness of the method, it is shown that a flowing dielectric medium with a linear response to an…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Novello , S. E. Perez Bergliaffa

We consider the observational properties of a spherically symmetric, static regular black hole within the framework of asymptotic safety (AS) as proposed by Bonanno et al. The metric resembles the Schwarzschild solution in the classical…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Abdybek Urmanov , Hrishikesh Chakrabarty , Daniele Malafarina

We study the geodesic motion of massless test particles in the background of a magnetic charged black hole spacetime in four dimensions in dilaton-Maxwell gravity. The behaviour of effective potential in view of the different values of…

General Relativity and Quantum Cosmology · Physics 2015-09-18 Ravi Shankar Kuniyal , Rashmi Uniyal , Hemwati Nandan , K. D. Purohit

Localization phenomena in light scattering from random fluctuations of matter fields and spacetime metric near a black hole horizon were predicted to produce a pronounced peak in the angular distribution of second harmonic light in the…

General Physics · Physics 2022-06-09 Igor I. Smolyaninov

Black holes are objects that have a large mass and curve space time, characterized by their event horizon and singularity. Recently, an interesting concept of analogous black holes has emerged in the field of condensed matter physics. In…

Materials Science · Physics 2023-04-04 Christopher Sims

We consider the properties of a static axially symmetric wormhole described by an exact solution of Einstein's field equations and investigate how we can distinguish such a hypothetical object from a black hole. To this aim, we explore the…

General Relativity and Quantum Cosmology · Physics 2021-09-09 Bakhtiyor Narzilloev , Daniele Malafarina , Ahmadjon Abdujabbarov , Bobomurat Ahmedo , Cosimo Bambi

The horizon and geodesic structure of static configurations generated by anisotropic conformal transforms of the Schwarzschild metric is analyzed. We construct the maximal analytic extension of such off--diagonal vacuum metrics and conclude…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergiu Vacaru , D. E. Goksel

In this methodological paper we consider geodesic motion of particles in a spherically symmetric black hole space-times. We develop an approach based on splitting the velocity of a freely falling particle to the flow velocity, which depends…

General Relativity and Quantum Cosmology · Physics 2021-06-03 A. Toporensky , O. Zaslavskii

We summarize the main results of a broad analysis on electrostatic, spherically symmetric (ESS) solutions of a class of non-linear electrodynamics models minimally coupled to gravitation. Such models are defined as arbitrary functions of…

General Relativity and Quantum Cosmology · Physics 2013-01-08 J. Diaz-Alonso , D. Rubiera-Garcia
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