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We give the Lagrangian formulation of a generic non-minimally extended Einstein-Maxwell theory with an action that is linear in the curvature and quadratic in the electromagnetic field. We derive the coupled field equations by a first order…

General Relativity and Quantum Cosmology · Physics 2011-03-21 T. Dereli , O. Sert

We introduce a rigorous and general framework to study systematically self-gravitating elastic materials within general relativity, and apply it to investigate the existence and viability, including radial stability, of spherically…

General Relativity and Quantum Cosmology · Physics 2022-06-07 Artur Alho , José Natário , Paolo Pani , Guilherme Raposo

In this paper we consider a special case of vacuum non-linear electrodynamics with a stress-energy tensor conformal to the Maxwell theory. Distinctive features of this model are: the absence of dimensional parameter for non-linearity…

General Relativity and Quantum Cosmology · Physics 2022-10-19 I. P. Denisova , B. D. Garmaev , V. A. Sokolov

We examine in the context of general relativity the dynamics of a spatially flat Robertson-Walker universe filled with a classical minimally coupled scalar field \phi of exponential potential ~ e^{-\mu\phi} plus pressureless baryonic…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. Kehagias , G. Kofinas

The Einstein-Cartan-Kibble-Sciama ({\sf ECKS}) theory of gravity naturally extends Einstein\rq{}s general relativity ({\sf GR}) to include intrinsic angular momentum (spin) of matter. The main feature of this theory consists of an algebraic…

General Relativity and Quantum Cosmology · Physics 2018-06-04 Hamid Shabani , Amir Hadi Ziaie

We analyze linear Einstein--Maxwell perturbations of the superextremal Reissner--Nordstr\"om geometry in its static Kerr--Schild rest frame, viewing it as the nonlinear self-field of a single static point charge. In optical radial…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Daxx W. Delucchi

We investigate a modified gravity framework where the geometric Einstein--Hilbert sector remains untouched while the matter Lagrangian is weighted by a nontrivial function $\phi(T)$ of the energy--momentum trace. Unlike $f(R,T)$ or…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Gines R. Pérez Teruel , Antonio Peña Peña

We study static symmetric solutions in the context of a gravitational theory based on a action-dependent Lagrangian. Such theory has been designed as a setup to implement dissipative effects into the traditional principle of least action.…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Julio C. Fabris , Hermano Velten , Aneta Wojnar

We provide a general framework for studying the dark energy cosmology in which a scalar field $\phi$ is nonminimally and kinetically coupled to Cold Dark Matter (CDM). The scalar-graviton sector is described by the action of Horndeski…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Ryotaro Kase , Shinji Tsujikawa

Recently, no-go theorems for the existence of solitonic solutions in Einstein-Maxwell-scalar (EMS) models have been established in arXiv:1902.07721. Here we discuss how these theorems can be circumvented by a specific class of non-minimal…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Carlos A. R. Herdeiro , João M. S. Oliveira , Eugen Radu

A broad class of dark energy models can be written in the form of k-essence, whose Lagrangian density is a two-variable function of a scalar field $\phi$ and its kinetic energy $X\equiv \frac{1}{2}\partial^\mu\phi \partial_\mu\phi$. In the…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-14 Zhiqi Huang

We show that a scalar field without a kinetic term in the Lagrangian density, coupled to the covariant divergence of the torsion vector in the Einstein$-$Cartan theory of gravity, becomes kinetic in its general-relativistic equivalent…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Nikodem J. Popławski

The origin of the observed dark energy could be explained entirely within the standard model, with no new fields required. We show how the low-energy sector of the chiral QCD Lagrangian, once embedded in a non-trivial spacetime, gives rise…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Federico R. Urban , Ariel R. Zhitnitsky

This paper discusses a generalized model for compact stars, assumed to be anisotropic in nature due to the spherical symmetry and high density. After embedding the four-dimensional spacetime in a five-dimensional flat spacetime, which may…

General Physics · Physics 2018-03-09 S. K. Maurya , Debabrata Deb , Saibal Ray , P. K. F. Kuhfittig

Einstein-Cartan theory is an extension of the standard formulation of General Relativity where torsion (the antisymmetric part of the affine connection) is non-vanishing. Just as the space-time metric is sourced by the stress-energy tensor…

General Relativity and Quantum Cosmology · Physics 2019-12-30 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

It is known that the cosmological constant can be dynamically tuned to an arbitrary small value in classes of scalar tensor theories. The trouble with such schemes is that effective gravity itself vanishes. We explore the possibility of…

Astrophysics · Physics 2007-05-23 Nimmi Rooprai , Daksh Lohiya

We generalize the Tolman-Oppenheimer-Volkoff equations for space-times endowed with a Weyssenhoff like torsion field in the Einstein-Cartan theory. The new set of structure equations clearly show how the presence of torsion affects the…

General Relativity and Quantum Cosmology · Physics 2019-10-18 Paulo Luz , Sante Carloni

The disformal transformation of metric $g_{\mu \nu} \to \Omega^2 (\phi)g_{\mu \nu}+\Gamma(\phi,X) \partial_{\mu}\phi \partial_{\nu}\phi$, where $\phi$ is a scalar field with the kinetic energy $X= \partial_{\mu}\phi \partial^{\mu}\phi/2$,…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Shinji Tsujikawa

After the recent GW170817 event of the two neutron stars merging, many string corrected cosmological theories confronted the non-viability peril. This was due to the fact that most of these theories produce massive gravitons primordially.…

General Relativity and Quantum Cosmology · Physics 2021-02-03 V. K. Oikonomou , F. P. Fronimos

We present a \textit{k}-essence model where a single scalar field is responsible for the early expansion of the universe through the process of \textit{k}-inflation and at appropriate subsequent stages acts both as dark matter and dark…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-21 N. Bose , A. S. Majumdar
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