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The relativistic extension of the classic stellar structure equations is investigated. It is pointed out that the Tolman-Oppenheimer-Volkov (TOV) equation with the gradient equation for local gravitational mass can be made complete as a…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Shuichi Yokoyama

We study spherically-symmetric structures in Conformal Gravity and in a scalar-tensor extension and gain some more insight about these gravitational theories. In both cases we analyze solutions in two systems: perfect fluid solutions and…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Y. Brihaye , Y. Verbin

We give a brief summary of the formalism of invariants in general scalar-tensor and multiscalar-tensor gravities without derivative couplings. By rescaling of the metric and reparametrization of the scalar fields, the theory can be…

General Relativity and Quantum Cosmology · Physics 2016-01-01 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

Scalar-tensor theories (STTs) are a widely studied alternative to General Relativity (GR) in which gravity is endowed with an additional scalar degree of freedom. Although severely constrained by solar system and pulsar timing experiments,…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Raissa F. P. Mendes

The four equations of stellar structure are reformulated as two alternate pairs of variational principles. Different thermodynamic representations lead to the same hydromechanical equations, but the thermal equations require, not the…

Astrophysics · Physics 2009-10-28 Dallas C. Kennedy , Sidney A. Bludman

General relativity probably is not the definitive theory of gravity, due a number or issues, both from the theoretical and from the observational point of view. Alternative theories of gravity were conceived to extend general relativity and…

High Energy Astrophysical Phenomena · Physics 2021-05-13 Jacopo Soldateschi , Niccolò Bucciantini , Luca Del Zanna

We study relativistic stars in the context of scalar tensor theories of gravity that try to account for the observed cosmic acceleration and satisfy the local gravity constraints via the chameleon mechanism. More specifically, we consider…

General Relativity and Quantum Cosmology · Physics 2015-03-13 E. Babichev , D. Langlois

A short review of scalar curvature invariants in gravity theories is presented. We introduce how these invariants are constructed and discuss the minimal number of invariants required for a given spacetime. We then discuss applications of…

General Relativity and Quantum Cosmology · Physics 2021-06-14 B. Shakerin , D. D. McNutt , B. Mattingly , A. Kar , W. Julius , M. Gorban , C. Watson , P. Brown , J. S. Lee , E. W. Davis , G. B. Cleaver

A general scheme of constructing scalar-tensor equivalents to modified gravitational actions are studied using the algebra of exterior differential forms and the first order formalism that allows an independent connection and coframe. By…

General Relativity and Quantum Cosmology · Physics 2013-10-31 Ahmet Baykal , Özgür Delice

A covariant scalar-tensor-vector gravity theory is developed which allows the gravitational constant $G$, a vector field coupling $\omega$ and the vector field mass $\mu$ to vary with space and time. The equations of motion for a test…

General Relativity and Quantum Cosmology · Physics 2021-11-22 J. W. Moffat

In the present work, we obtain the hydrostatic equilibrium configurations of neutron stars in the recently proposed $f(R,\mathcal{L},T)$ theory of gravity, for which $R$ is the Ricci scalar, $\mathcal{L}$ is the matter lagrangian density,…

General Relativity and Quantum Cosmology · Physics 2024-02-26 J. A. S. Fortunato , P. H. R. S. Moraes , E. Brito , J. G. de Lima Júnior , T. S. Guerini

We consider the general scalar-tensor gravity without derivative couplings. By rescaling of the metric and reparametrization of the scalar field, the theory can be presented in different conformal frames and parametrizations. In this work…

General Relativity and Quantum Cosmology · Physics 2015-02-02 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

The first-order thermodynamics of scalar-tensor theory is a novel approach that exploits the intriguing relationship between gravity and thermodynamics to better understand the space of gravity theories. It is based on using Eckart's…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Serena Giardino , Andrea Giusti

We investigate the hydrostatic equilibrium of stellar structure by taking into account the modi- fied La\'e-Emden equation coming out from f(R)-gravity. Such an equation is obtained in metric approach by considering the Newtonian limit of…

General Relativity and Quantum Cosmology · Physics 2011-03-21 S. Capozziello , M. De Laurentis , S. D. Odintsov , A. Stabile

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

In the context of a special class of tensor-multi-scalar theories of gravity for which the target-space metric admits an isometry under which the theory is invariant, we present rotating vacuum solutions, namely with no matter fields. These…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

In the present work we study a concrete model of Scalar--Tensor theory of gravity characterized by two free parameters, and compare its predictions against observational data and constraints coming from supernovae, solar system tests as…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-14 Grigoris Panotopoulos , Angel Rincon

We study the large-scale structure formation in the Universe in the frame of scalar-tensor theories as an alternative to general relativity. We review briefly the Newtonian limit of non-minimally coupled scalar-tensor theories and the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 M. A. Rodriguez-Meza

It is known that some cosmological perturbations are conformal invariant. This facilitates the studies of perturbations within some gravitational theories alternative to general relativity, for example the scalar-tensor theory, because it…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Mingzhe Li , Yicen Mou

Recently, it was shown that the quantum effects of the matter, could be used to determine the conformal degree of freedom of the space-time metric. So both gravity and quantum are geometrical features. Gravity determines the causal…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Fatimah Shojai , Ali Shojai , Mehdi Golshani
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