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In this manuscript, we show that the external Schwarzschild metric can be a good approximation of exact black hole solutions of entangled relativity. Since entangled relativity cannot be defined from vacuum, the demonstrations need to rely…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Olivier Minazzoli , Edison Santos

A solution to Einstein's field equations via the Friedman equations is shown to produce a cosmological model that is in exact agreement with the measurements made by the dark energy astronomers. All the essential physical parameters are…

General Physics · Physics 2012-06-26 James G. Gilson

Considering a Schwarzschild black hole surrounded by a fully ionized hydrogen plasma, we study the refractive effect and the pure gravitational effect of the plasma on the shadow. The effects are treated in a unified formalism but…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Qiang Li , Yanni Zhu , Towe Wang

A photon emitted near a compact object at an angle $\alpha$ with respect to the radial direction escapes to infinity at a different angle $\psi>\alpha$. This bending of light is caused by a strong gravitational field. We show that, in a…

Astrophysics · Physics 2009-11-07 Andrei M. Beloborodov

In this article we investigate the properties of the asymptotically Schwarzschild-like metric as an alternative to the Schwarzschild solution in General Relativity. While asymptotically flat and similar to Schwarzschild at large distances…

General Relativity and Quantum Cosmology · Physics 2025-11-18 K. K. Ernazarov

We construct gravitational atoms including self-gravity, obtaining solutions of the Einstein-Klein-Gordon equations for a scalar field surrounding a non-rotating black hole in a quasi-stationary approximation. We resolve the region near the…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Miguel Alcubierre , Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Darío Núñez , Olivier Sarbach

This paper reviews some of the results of the Planck collaboration and shows how to compute the distance from the surface of last scattering, the distance from the farthest object that will ever be observed, and the maximum radius of a…

General Physics · Physics 2020-02-27 Kevin Cahill

Inspired by holographic principle, we suggest that the density of dark energy is proportional to the spatial Ricci scalar curvature (SRDE). Such model is phenomenologically viable. The best fit values of its parameters at 68% confidence…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Rong-Jia Yang , Zong-Hong Zhu , Fengquan Wu

The first fully integrated explicit exact solution of the Einstein field equations corresponding to the superposition of a counterrotating dust disk with a central black hole is presented. The obtained solution represents an infinite…

General Relativity and Quantum Cosmology · Physics 2008-11-20 Guillermo A. González , Antonio C. Gutiérrez-Piñeres

In this paper is proposed a geometric solution to the dark energy, assuming that the space can be divided into regions of size $\sim L_{p}$ and energy $\sim E_{p}$. Significantly this assumption generate a energy density similar to the…

General Relativity and Quantum Cosmology · Physics 2011-02-08 Miguel Angel García-Aspeitia

We propose new analytic formulae describing light bending in Schwarzschild metric. For emission radii above the photon orbit at 1.5 Schwarzschild radius, the formulae have an accuracy of better than 0.2% for the bending angle and 3% for the…

High Energy Astrophysical Phenomena · Physics 2020-08-05 Juri Poutanen

We analyse the physical properties of an analytical, nonsingular quantum-corrected black hole solution recently derived in a minisuperspace model for unimodular gravity under the assumption of unitarity in unimodular time. We show that the…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Steffen Gielen , Sofie Ried

The Schwarzschild metric has a divergent energy density at the horizon, which motivates a new approach to black holes. If matter is spread uniformly throughout the interior of a supermassive black hole, with mass $M\sim M_\star= 2.34…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theo M. Nieuwenhuizen

Higher derivative extensions of Einstein gravity are important within the string theory approach to gravity and as alternative and effective theories of gravity. H. L\"u, A. Perkins, C. Pope, K. Stelle [Phys.Rev.Lett. 114 (2015), 171601]…

General Relativity and Quantum Cosmology · Physics 2023-07-10 K. Kokkotas , R. A. Konoplya , A. Zhidenko

The discovery of cosmic acceleration motivated extensive studies of dynamical dark energy and modified gravity models. Of particular interest are the scalar-tensor theories, with a scalar field dark energy non-minimally coupled to matter.…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-14 Seyed Hamidreza Mirpoorian , Zhuangfei Wang , Levon Pogosian

It is already known that a simple nonlocal de Sitter gravity model, which we denote as $\sqrt{dS}$ gravity, contains an exact vacuum cosmological solution which mimics dark energy and dark matter and is in very good agreement with the…

General Physics · Physics 2024-04-10 Ivan Dimitrijevic , Branko Dragovich , Zoran Rakic , Jelena Stankovic

The Event Horizon Telescope (EHT) observations of Sgr\,A* resolved the shadow image and emission ring-like structure, which is associated to the photon ring of the supermassive black hole, at the galactic centre, revealing a diameter of…

High Energy Astrophysical Phenomena · Physics 2025-04-14 Milton Jair Santibañez-Armenta , Gustavo Magallanes-Guijón , Sergio Mendoza , Alejandro Cruz-Osorio

In 2007 Rindler and Ishak showed that, contrary to previous claims, the value of the cosmological constant does have an effect on light deflection by a gravitating object in an expanding universe, modeled by a Schwarzschild-de~Sitter…

General Relativity and Quantum Cosmology · Physics 2018-05-25 Mir Emad Aghili , Brett Bolen , Luca Bombelli

In this paper we present an exact solution of Einstein's field equations describing the Schwarzschild black hole in dark energy background. It is also regarded as an embedded solution that the Schwarzschild black hole is embedded into the…

General Relativity and Quantum Cosmology · Physics 2014-09-30 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh

Faced by recent evidence for a flat universe dominated by dark energy, cosmologists grapple with deep cosmic enigmas such as the cosmological constant problem, extreme fine-tuning and the cosmic coincidence problem. The extent to which we…

Astrophysics · Physics 2016-08-30 Greg Huey , Benjamin D. Wandelt
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