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We consider metric f(R) theories of gravity without mapping them to their scalar-tensor counterpart, but using the Ricci scalar itself as an "extra" degree of freedom. This approach avoids then the introduction of a scalar-field potential…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Luisa G. Jaime , Leonardo Patino , Marcelo 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 scalar field theory is constructed on an energy-momentum background of constant curvature. The generalization of the usual Feynamn rules for the flat geometry follows from the requirement of their covariance. The main result is that the…

General Physics · Physics 2023-03-22 Boris Ivetic

We consider a theory of gravity with a hidden extra-dimension and metric-dependent torsion. A set of physically motivated constraints are imposed on the geometry so that the torsion stays confined to the extra-dimension and the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Karthik H. Shankar , Anand Balaraman , Kameshwar C. Wali

General relativity is highly successful in explaining a wide range of gravitational phenomena including the gravitational waves emitted by binary systems and the shadows cast by supermassive black holes. From a modern perspective the theory…

General Relativity and Quantum Cosmology · Physics 2024-07-26 Jesse Daas , Cristobal Laporte , Frank Saueressig , Tim van Dijk

In the framework of the theory of scale relativity, we suggest a solution to the cosmological problem of the formation and evolution of gravitational structures on many scales. This approach is based on the giving up of the hypothesis of…

Astrophysics · Physics 2015-06-24 Daniel da Rocha , Laurent Nottale

We elaborated the gravitational collapse of a self-gravitating complex charged scalar field in the context of the low-energy limit of the string theory, the so-called dilaton gravity. We begin with the regular spacetime and follow the…

High Energy Physics - Theory · Physics 2011-11-10 Anna Borkowska , Marek Rogatko , Rafal Moderski

We derive constraints on scalar field theories coupled to gravity by using recently developed positivity bounds in the presence of gravity. It is found that a canonically-normalized real scalar cannot have an arbitrarily flat potential…

High Energy Physics - Theory · Physics 2021-09-29 Toshifumi Noumi , Junsei Tokuda

In a Riemannian manifold, it is well known that the scalar curvature at a point can be recovered from the volumes (areas) of small geodesic balls (spheres). We show the scalar curvature is likewise determined by the relative capacities of…

Differential Geometry · Mathematics 2021-08-23 Jeffrey L. Jauregui

Out of several possible extensions of general relativity, the scalar-tensor theory is the most popular for several reasons. Since the quantum description of gravity is yet to be formulated properly, the understanding of a gravitational…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

We show that the gravitational field equations derived from an action composed of i) an arbitrary function of the scalar curvature and other scalar fields plus ii) connection-independent kinetic and source terms, are identical whether one…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Jean-paul Berthias , Bahman Shahid-Saless

The question of building a local diff-invariant effective gravitational action for the trace anomaly is reconsidered. General Relativity (GR) combined with the existing action for the trace anomaly is an inconsistent low energy effective…

High Energy Physics - Theory · Physics 2023-07-19 Gregory Gabadadze

We investigate a class of gravity theories respecting only spatial covariance, termed spatially covariant gravity, in the presence of an auxiliary scalar field. We examine the conditions on the Lagrangian required to eliminate scalar…

General Relativity and Quantum Cosmology · Physics 2024-03-25 Zhi-Chao Wang , Xian Gao

The $f(R)$ theory of gravity can be expressed as a scalar tensor theory with a scalar degree of freedom $\phi$. By a conformal transformation, the action and its Gibbons-York-Hawking boundary term are written in the Einstein frame and the…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Roger A. Hurtado , Robel Arenas

The weak field limit of scalar tensor theories of gravity is discussed in view of conformal transformations. Specifically, we consider how physical quantities, like gravitational potentials derived in the Newtonian approximation for the…

General Relativity and Quantum Cosmology · Physics 2015-02-25 A. Stabile , An. Stabile , S. Capozziello

A new approach to the cosmological constant problem is proposed by modifying Einstein's theory of general relativity, using instead a scalar-tensor theory of gravitation. This theory of gravity crucially incorporates the concept of quantum…

General Relativity and Quantum Cosmology · Physics 2011-10-28 Thomas L. Wilson

In gravity theories that exhibit spontaneous scalarization, astrophysical objects are identical to their general relativistic counterpart until they reach a certain threshold in compactness or curvature. Beyond this threshold, they acquire…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Giulia Ventagli , Antoine Lehébel , Thomas P. Sotiriou

In order to illustrate a recently derived covariant formalism for computing asymptotic symmetries and asymptotically conserved superpotentials in gauge theories, the case of gravity with minimally coupled scalar fields is considered and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Glenn Barnich

We consider the gravitational correction to the coupling of the scalar fields. Weak gravity conjecture says that the gravitational correction to the running of scalar coupling should be less than the contribution from scalar fields. For…

High Energy Physics - Theory · Physics 2010-10-27 Qing-Guo Huang

Disformal theories of gravity are scalar-tensor theories where the scalar couples derivatively to matter via the Jordan frame metric. These models have recently attracted interest in the cosmological context since they admit accelerating…

General Relativity and Quantum Cosmology · Physics 2015-11-04 Hiu Yan Ip , Jeremy Sakstein , Fabian Schmidt
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