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This paper explores the conditions under which modified gravitational theories admit the positive mass. Following Witten's spinor argument, it is argued that a single condition should be imposed upon a gauge connection in the…

General Relativity and Quantum Cosmology · Physics 2014-03-11 Masato Nozawa , Tetsuya Shiromizu

It is shown that the compactification a la Randall Sundrum of the so called, five dimensional Einstein Chern Simons action gravity leads to an action for a four dimensional scalar tensor gravity that includes a Gauss Bonnet term, which…

High Energy Physics - Theory · Physics 2023-08-09 L. Cardenas , V. C. Orozco , P. Salgado , D. Salgado , R. Salgado

Teleparallel description of gravity theories where the gravity is mediated through the tetrad field and consequent torsion provide an alternative route to explain the late time cosmic speed up issue. Generalization of the teleparallel…

General Relativity and Quantum Cosmology · Physics 2025-01-10 S. K. Tripathy , Sasmita Pal , B. Mishra

A role of the scalar-matter direct coupling in the evolution of scalar-tensor gravity was studied. If the coupling functions in the generalized scalar-tensor gravity satisfy a definite equation the scalar-tensor gravity is reduced to…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Kim Jik-su , Kim Chol-jun

In the bibliography a certain confusion arises in what regards to the classification of the gravitational theories into scalar-tensor theories and general relativity with a scalar field either minimally or non-minimally coupled to matter.…

General Relativity and Quantum Cosmology · Physics 2020-04-27 Israel Quiros , Roberto De Arcia , Ricardo García-Salcedo , Tame Gonzalez , Francisco Antonio Horta-Rangel

In the brane-world framework, we consider static, spherically symmetric configurations of a scalar field with the Lagrangian $(\d\phi)^2/2 - V(\phi)$, confined on the brane. We use the 4D Einstein equations on the brane obtained by…

General Relativity and Quantum Cosmology · Physics 2009-11-10 K. A. Bronnikov , S. B. Fadeev , A. V. Michtchenko

Most existing theories of dark energy and/or modified gravity, involving a scalar degree of freedom, can be conveniently described within the framework of the Effective Theory of Dark Energy, based on the unitary gauge where the scalar…

High Energy Physics - Theory · Physics 2017-05-24 David Langlois , Michele Mancarella , Karim Noui , Filippo Vernizzi

Binary pulsar observations and gravitational wave detections seriously constrained scalar-tensor theories with massless scalar field allowing only small deviations from general relativity. If we consider a nonzero mass of the scalar field,…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Kalin V. Staykov , Dimitar Popchev , Daniela D. Doneva , Stoytcho S. Yazadjiev

In this paper, we define a scalar complex potential $\mathcal{S}$ for an arbitrary electromagnetic field. This potential is a modification of the two scalar potential functions introduced by E. T. Whittaker. By use of a complexified…

General Physics · Physics 2009-11-17 Y. Friedman , S. Gwertzman

Scalar-tensor gravity is the simplest and best understood modification of general relativity, consisting of a real scalar field coupled directly to the Ricci scalar curvature. Models of this type have self-accelerating solutions. In an…

Astrophysics · Physics 2009-09-17 Gabriela Barenboim , Joseph Lykken

We show that the spontaneous scalarization scenario in scalar-tensor theories is a specific case of a more general phenomenon. The key fact is that the instability causing the spontaneous growth in scalars is due to the nonminimal coupling…

General Relativity and Quantum Cosmology · Physics 2017-10-10 Fethi M. Ramazanoğlu

We consider a generalized teleparallel theory of gravitation, where the action contains an arbitrary function of the torsion scalar and a scalar field, $f(T,\phi)$, thus encompassing the cases of $f(T)$ gravity and nonminimally coupled…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Manuel Hohmann , Laur Järv , Ulbossyn Ualikhanova

In the initial conditions of the $3 + 1$ formalism for numerical relativity, the transverse and trace-free (TT) part of the extrinsic curvature plays a key role. We know that TT tensors possess two degrees of freedom per space point.…

General Relativity and Quantum Cosmology · Physics 2016-03-21 Rory Conboye , Niall Ó Murchadha

Scalar-tensor theories are constrained with lunar laser ranging and supernovae data at low redshift. This allows to find some constraints on the scalar field independently on the form of its potential once the gravitation function is…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-11 Stéphane Fay

Scalar-tensor theories of gravity modify General Relativity by introducing a scalar field that couples non-minimally to the metric tensor, while satisfying the weak-equivalence principle. These theories are interesting because they have the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 David Anderson , Nicolas Yunes

Among single-field scalar-tensor theories, there is a special class called "cuscuton," which is represented as some limiting case of k-essence in general relativity. This theory has a remarkable feature that the number of propagating…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Aya Iyonaga , Kazufumi Takahashi , Tsutomu Kobayashi

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

The timing of binary pulsars allows us to place some of the tightest constraints on modified theories of gravity. Perhaps some of the most interesting and well-motivated extensions to General Relativity are scalar-tensor theories, in which…

General Relativity and Quantum Cosmology · Physics 2019-09-04 David Anderson , Nicolás Yunes

Starting from the most general scalar-tensor theory with second order field equations in four dimensions, we establish the unique action that will allow for the existence of a consistent self-tuning mechanism on FLRW backgrounds, and show…

High Energy Physics - Theory · Physics 2013-05-30 Christos Charmousis , Edmund J. Copeland , Antonio Padilla , Paul M. Saffin

Scalar-tensor theories of gravity are extensions of General Relativity (GR) including an extra, nonminimally coupled scalar degree of freedom. A wide class of these theories, albeit indistinguishable from GR in the weak field regime,…

General Relativity and Quantum Cosmology · Physics 2016-06-23 Raissa F. P. Mendes , Néstor Ortiz