Precision cosmology with exact inhomogeneous solutions of general relativity: The Szekeres models [PDF]
Physical Review DThe exact Friedman solution to the field equations of General Relativity (GR) describing a homogeneous and isotropic universe together with its linear and higher-order perturbations are the theoretical roots of the current standard model of cosmology.
Marie-Noëlle Célérier
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A simple method to generate exact physically acceptable anisotropic solutions in general relativity [PDF]
The European Physical Journal Plus, 2018 11 ...
Jorge Ovalle, A. Sotomayor
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Generalized teleparallel de Sitter geometries [PDF]
European Physical Journal C: Particles and Fields, 2023 Theories of gravity based on teleparallel geometries are characterized by the torsion, which is a function of the coframe, derivatives of the coframe, and a zero curvature and metric compatible spin-connection.
A. A. Coley +3 more
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Exact Solutions for Oscillating Spheres in General Relativity [PDF]
Monthly Notices of the Royal Astronomical Society, 1967 W. B. Bonnor, M. C. Faulkes
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A metric of Yukawa potential as an exact solution to the field equations of general relativity
, 1995 It is shown that, by defining a suitable energy momentum tensor, the field equations of general relativity admit a line element of Yukawa potential as an exact solution. It is also shown that matter that produces strong force may be negative, in which case there would be no Schwarzschild-like ...
Vu B Ho
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Black holes and non-perturbative gravitational waves in f(R) gravity
European Physical Journal C: Particles and Fields, 2023 Exact solutions of spherically symmetric black hole and gravitational wave are explored in f(R) gravity in arbitrary dimension. We find two exact solutions for the radiation and absorption of null dust.
Chunmei Liu, Hongsheng Zhang
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Note on the asymptotic structure of Kerr-Schild form
Journal of High Energy Physics, 2022 The Kerr-Schild form provides a natural way of realizing the classical double copy that relates exact solutions in general relativity to exact solutions in gauge theory. In this paper, we examine the asymptotic structure of Kerr-Schild form.
Pujian Mao, Weicheng Zhao
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Collapsing dynamics of relativistic fluid in modified gravity admitting a conformal Killing vector
European Physical Journal C: Particles and Fields, 2023 The collapsing dynamics of relativistic fluid are explored in f(R) gravity in detailed systematic manner for the non-static spherically symmetric spacetime satisfying the equation of the conformal Killing vector.
Kazuharu Bamba +4 more
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Charged black hole and radiating solutions in entangled relativity
European Physical Journal C: Particles and Fields, 2021 In this manuscript, we show that the external Schwarzschild metric can be a good approximation of exact black hole solutions of entangled relativity.
Olivier Minazzoli, Edison Santos
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New Riccati equations for radiating matter
European Physical Journal C: Particles and Fields, 2022 The relationship between radiating stars in general relativity and Riccati equations is investigated for a general matter distribution including the electromagnetic field and the cosmological constant.
Noeleen Naidoo +2 more
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