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Special theory of relativity has been formulated in a vacuum momentum-energy representation which is equivalent to Einstein special relativity and predicts just the same results as it. Although in this sense such a formulation would be at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. F. Gonzalez-Diaz

We consider the evolution of perturbed cosmological spacetime with multiple scalar fields in Einstein gravity. A complete set of scalar-type perturbation equations is presented in a gauge-ready form, and we derived the closed set of…

Astrophysics · Physics 2009-10-31 J. Hwang , H. Noh

We review various modified gravities considered as gravitational alternative for dark energy. Specifically, we consider the versions of $f(R)$, $f(G)$ or $f(R,G)$ gravity, model with non-linear gravitational coupling or string-inspired…

High Energy Physics - Theory · Physics 2009-09-17 S. Nojiri , S. D. Odintsov

We study the extent up to which the equivalence principle is obeyed in models of modified gravity and dark energy involving a single scalar degree of freedom. We focus on the effective field theories of dark energy describing the late time…

High Energy Physics - Theory · Physics 2020-01-08 Lasma Alberte

In this review we present a thoroughly comprehensive survey of recent work on modified theories of gravity and their cosmological consequences. Amongst other things, we cover General Relativity, Scalar-Tensor, Einstein-Aether, and Bimetric…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Timothy Clifton , Pedro G. Ferreira , Antonio Padilla , Constantinos Skordis

Dark energy cosmologies with an equation of state parameter $w$ less than -1 are often found to violate the null energy condition and show unstable behaviour. A solution to this problem may require the existence of a consistent effective…

High Energy Physics - Theory · Physics 2009-04-22 Ben M. Leith , Ishwaree P. Neupane

We revisit Weyl's metrication (geometrization) of electromagnetism. We show that by making Weyl's proposed geometric connection be pure imaginary, not only are we able to metricate electromagnetism, an underlying local conformal invariance…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Philip D. Mannheim

The structure of the divergences for transverse theories of gravity is studied to one-loop order. These theories are invariant only under those diffeomorphisms that enjoy unit Jacobian determinant (TDiff), so that the determinant of the…

High Energy Physics - Theory · Physics 2008-11-26 Enrique Alvarez , Anton F. Faedo , J. J. Lopez-Villarejo

In this letter, we consider the possibility of reconciling metric theories of gravitation with violation of the conservation of energy-momentum. Under some circumstances, this can be achieved in the context of unimodular gravity, and it…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Thibaut Josset , Alejandro Perez , Daniel Sudarsky

In this paper, we will analyse the cosmological models in Einstein-aether gravity, which is a modified theory of gravity in which a time-like vector field breaks the Lorentz symmetry. We will use this formalism to analyse different…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Antonio Pasqua , Surajit Chattopadhyay , Davood Momeni , Muhammad Raza , Ratbay Myrzakulov , Mir Faizal

General Relativity receives quantum corrections relevant at cosmological distance scales from the conformal scalar degrees of freedom required by the trace anomaly of the quantum stress tensor in curved space. In the theory including the…

General Relativity and Quantum Cosmology · Physics 2012-09-25 Emil Mottola

We investigate a scalar-vector-tensor theory in which matter is minimally coupled to a Jordan-frame metric, while a massive vector sector interacts with the baryonic current. We show that the conformal scalar coupling modifies the physical…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Kimet Jusufi , Amir A. Khodahami , Ahmad Sheykhi , Jackson Levi Said , Emmanuel N. Saridakis

Unitarity of scale-invariant coupled theory of higher-derivative gravity and matter is investigated. A scalar field coupled with dirac fermion is taken as matter sector.Following the idea of induced gravity Einstein-Hilbert term is…

High Energy Physics - Theory · Physics 2017-10-23 Gaurav Narain

It is proposed to consider dark matter as a perfect dilaton-spin fluid (with particles endowed with intrinsic spin and dilaton charge) in the framework of a gravitational theory with a Weyl-Cartan geometrical structure. The modified…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Olga V. Babourova

The combination of GR and the Standard Model disagrees with numerous observations on scales from our Solar System up. In the concordance model of cosmology, these contradictions are removed or alleviated by the introduction of three…

General Relativity and Quantum Cosmology · Physics 2012-01-10 Glenn D. Starkman

The conformal anomaly for 4D gravity-matter theories, which are non-minimally coupled with the dilaton, is systematically studied. Special care is taken for: rescaling of fields, treatment of total derivatives, hermiticity of the system…

High Energy Physics - Theory · Physics 2009-09-17 Shoichi Ichinose , Sergei D. Odintsov

We consider tensor-multiscalar representations for several types of modified gravity actions. The first example is the theory with the action representing an arbitrary smooth function of the scalar curvature R and (Box R), the integrand of…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Davi C. Rodrigues , Filipe de O. Salles , Ilya L. Shapiro , Alexei A. Starobinsky

We discuss that it is quite possible to realize the smooth transition of the universe between a matter/radiation dominated deceleration and a dark energy dominated acceleration, even with a variation of proton-to-electron mass ratio. The…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Soumya Chakrabarti

We study new classes of metric transformations in the context of scalar-tensor theories, which involve both higher derivatives of the scalar field and derivatives of the metric itself. In general, such transformations are not invertible as…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Eugeny Babichev , Keisuke Izumi , Karim Noui , Norihiro Tanahashi , Masahide Yamaguchi

A certain vector-tensor (VT) theory is revisited. It was proposed and analyzed as a theory of electromagnetism without the standard gauge invariance. Our attention is first focused on a detailed variational formulation of the theory, which…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-15 Roberto Dale , Diego Sáez
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