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A tetrad field with spherical symmetry is applied to the charged field equations of $f(T)$ gravity theory. A special spherically-symmetric charged-dS solution is obtained. The scalar torsion of this solution is a vanishing quantity. The…

General Relativity and Quantum Cosmology · Physics 2013-12-03 Gamal G. L. Nashed

We give a brief overview of a non-Lagrangian approach to field theory based on a generalization of the Kerr-Penrose theorem and algebraic twistor equations. Explicit algorithms for obtaining the set of fundamental (Maxwell, SL(2,…

General Relativity and Quantum Cosmology · Physics 2018-08-17 Vladimir V. Kassandrov , Joseph A. Rizcallah , Nina V. Markova

We revisit the static spherically symmetric solutions of Einstein's General Relativity with a conformally coupled scalar field in arbitrary dimensions. Using a four rank tensor introduced earlier we recast the field equations in a…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Sourya Ray

We study generalized two-field $\alpha$-attractor models whose rescaled scalar manifold is the triply-punctured sphere endowed with its complete hyperbolic metric, whose underlying complex manifold is the modular curve $Y(2)$. Using an…

High Energy Physics - Theory · Physics 2019-04-10 Elena Mirela Babalic , Calin Iuliu Lazaroiu

We consider here a spherically symmetric but inhomogeneous universe filled with a massless scalar field. The model obeys two constraints. The first one is that the gradient of the scalar field is timelike everywhere. The second constraint…

General Relativity and Quantum Cosmology · Physics 2011-04-20 Swastik Bhattacharya , Pankaj S. Joshi , Ken-ichi Nakao

The peculiar motion of an observer relative to an ideal reference frame at rest with respect to the cosmic background produces boosting effects which modify and transfer at higher multipoles the frequency spectrum of the isotropic…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-24 Tiziana Trombetti

Boost-rotation symmetric spacetimes are exceptional as they are the only exact asymptotically flat solutions to the Einstein equations describing spatially bounded sources ("point-like" particles, black holes) undergoing non-trivial motion…

General Relativity and Quantum Cosmology · Physics 2010-03-05 David Kofron , Jiri Bicak

First we review some of the attempts made to find exact spherically symmetric solutions of Einstein field equations in the presence of scalar fields .Wyman solution in both static and non static scalar field is discussed briefly and it is…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Mohammad Mehrpooya , D. Momeni

We study neutron star configurations in a teleparallel gravity model featuring a scalar field coupled to both matter and torsion. In the Einstein frame, the theory includes a derivative coupling between the scalar field and the torsion…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Youcef Kehal , Khireddine Nouicer

Consider the nonlinear scalar field equation \begin{equation} \label{a1} -\Delta{u}= f(u)\quad\text{in}~\mathbb{R}^N,\qquad u\in H^1(\mathbb{R}^N), \end{equation} where $N\geq3$ and $f$ satisfies the general Berestycki-Lions conditions. We…

Analysis of PDEs · Mathematics 2020-10-07 Louis Jeanjean , Sheng-Sen Lu

f(R) gravity is a well-known modification of General Relativity, that can be reduced to a scalar-tensor theory by a conformal transformation (Einstein frame). We study static spherically symmetric (SSS) asymptotically flat vacuum…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Valery I. Zhdanov

Standard Model with a classical conformal invariance holds the promise to give a better understanding of the hierarchy problem and could pave the way for beyond the standard model physics. So, we give here a mathematical treatment of a…

High Energy Physics - Phenomenology · Physics 2014-06-30 Marco Frasca

Local and global phase-space descriptions and averaging methods are used to find qualitative features of solutions for the FLRW and the Bianchi I metrics in the context of scalar field cosmologies with arbitrary potentials and arbitrary…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Genly Leon , Felipe Orlando Franz Silva

We derive the scalar-tensor modification of the gravitational field of an ultrarelativistic particle beam and its effect on a test particle that is used as sensor. To do so, we solve the linearized scalar-tensor gravity field equations…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Christian Pfeifer , Dennis Rätzel , Daniel Braun

Gravitational theories with multiple scalar fields coupled to the metric and each other --- a natural extension of the well studied single-scalar-tensor theories --- are interesting phenomenological frameworks to describe deviations from…

General Relativity and Quantum Cosmology · Physics 2016-05-02 Michael Horbatsch , Hector O. Silva , Davide Gerosa , Paolo Pani , Emanuele Berti , Leonardo Gualtieri , Ulrich Sperhake

We study static and spherically symmetric charged stars with a nontrivial profile of the scalar field $\phi$ in Einstein-Maxwell-scalar theories. The scalar field is coupled to a $U(1)$ gauge field $A_{\mu}$ with the form…

General Relativity and Quantum Cosmology · Physics 2022-08-02 Masato Minamitsuji , Shinji Tsujikawa

We consider vacuum static spherically symmetric solutions in the hybrid metric-Palatini gravity theory, which is a combination of the metric and Palatini $f(R)$ formalisms unifying local constraints at the Solar System level and the…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Bogdan Danila , Tiberiu Harko , Francisco S. N. Lobo , Man Kwong Mak

Scalar fields with a global U(1) symmetry often appear in cosmology and astrophysics. We study the spherically-symmetric, stationary accretion of such a classical field onto a Schwarzschild black hole in the test-field approximation. Thus,…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Dražen Glavan , Alexander Vikman , Tom Zlosnik

In this paper, we use both local and global phase-space descriptions and averaging methods to find qualitative features of solutions for the FLRW and Bianchi I metrics in the context of scalar field cosmologies with arbitrary potentials and…

General Relativity and Quantum Cosmology · Physics 2020-06-11 Genly Leon , Felipe Orlando Franz Silva

We consider a cosmology with a non-compact nonlinear sigma model.The target space is of de-Sitter type and four scalar fields are introduced.The potential is absent but cosmological constant term $\Lambda$ is added. One of the scalar fields…

General Relativity and Quantum Cosmology · Physics 2009-10-19 Joohan Lee , Tae Hoon Lee , Taeyoon Moon , Phillial Oh
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