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A Lagrangian relativistic approach to the non--linear dynamics of cosmological perturbations of an irrotational collisionless fluid is considered. Solutions are given at second order in perturbation theory for the relevant fluid and…

Astrophysics · Physics 2015-06-24 S. Matarrese , O. Pantano , D. Saez

We propose new models of an `affine' theory of gravity in $D$-dimensional space-times with symmetric connections. They are based on ideas of Weyl, Eddington and Einstein and, in particular, on Einstein's proposal to specify the space - time…

High Energy Physics - Theory · Physics 2015-05-18 A. T. Filippov

We investigate (2+1)-dimensional gravity in a Weyl integrable spacetime (WIST). We show that, unlike general relativity, this scalar-tensor theory has a Newtonian limit for any dimension and that in three dimensions the congruence of world…

General Relativity and Quantum Cosmology · Physics 2015-10-21 J. E. Madriz Aguilar , C. Romero , J. B. Fonseca-Neto , T. S. Almeida , J. B. Formiga

A phenomenological model of an ideal fluid with a scalar charge is formulated, on the basis of which a model with a neutral fluid and a vacuum-field model with rules of transition between them are constructed. A qualitative analysis of the…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Yu. G. Ignat'ev

In 1918 Weyl introduced Weyl conformal geometry and its associated quadratic action which was the first gauge theory, of a spacetime symmetry, the Weyl gauge theory (of dilatations and Poincar\'e symmetry). The initial physical…

General Relativity and Quantum Cosmology · Physics 2026-04-10 D. M. Ghilencea

The present work deals with cosmological solutions in $f(R,T)$ gravity theory for perfect fluid with constant equation of state ($\omega$). For a viable cosmological solution $\omega$ is restricted to $\omega<\dfrac{1}{3}$. Also depending…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Akash Bose , Gopal Sardar , Subenoy Chakraborty

Despite the fact that General Relativity (GR) has been very successful, many alternative theories of gravity have attracted the attention of a significant number of theoretical physicists. Among these theories, we have theories with…

General Relativity and Quantum Cosmology · Physics 2019-05-14 J. B. Formiga

A comparison is given between the Newtonian and Einsteinian frames of gravitation. From this it is shown that there exist a weak connection to gravitation and electromagnetism. This connection is then studied more thoroughly with the Weyl…

General Physics · Physics 2007-05-23 E. F. Halerewicz

We revisit the gauge symmetry related to integrable projective transformations in metric-affine formalism, identifying the gauge field of the Weyl (conformal) symmetry as a dynamical component of the affine connection. In particular, we…

High Energy Physics - Theory · Physics 2022-10-26 Gonzalo J. Olmo , Emanuele Orazi , Gianfranco Pradisi

The characterization of the gravitational field of isolated objects is still an open question in quadratic theories of gravity. We study static equilibrium solutions for a self-gravitating fluid in extensions of General Relativity including…

General Relativity and Quantum Cosmology · Physics 2021-08-26 Alfio Bonanno , Samuele Silveravalle

Vacuum cosmological models are considered in the context of a multidimensional theory of gravity with integrable Weyl geometry. A family of exact solutions with a chain of internal spaces is obtained. Models with one internal space are…

General Relativity and Quantum Cosmology · Physics 2016-08-31 K. A. Bronnikov , V. N. Melnikov

We obtain vacuum solutions in the presence of a cosmological constant in the context of the Weyl geometrical scalar-tensor theory. We investigate the limit when $\omega$ goes to infinity and show by working out the solutions that in this…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Adriano Barros , Carlos Romero

We present exact analytical solutions to the Conformal Weyl Gravity cosmological equations that are valid for both the matter and radiation dominated eras. The Primordial Nucleosynthesis process is also exhaustively studied. The main…

Astrophysics · Physics 2009-10-22 D. Elizondo , G. Yepes

The dynamics of perfect fluid as a source in the context of modified gravity, specifically $f(Q,T)$ gravity, are examined within the Friedmann-Lema\^itre-Robertson-Walker (FLRW) cosmological model. This gravity is a generic function of the…

General Relativity and Quantum Cosmology · Physics 2024-08-02 S. H. Shekh , Anirudh Pradhan , S. P. Gaikwad , K. R. Mule

In this paper, we try to consider the stability conditions of a modified gravity coupled by Weyl tensor. In this way, we indicate the suitable conditions for a successful bounce while the equation of state (EoS) parameter crosses the…

General Relativity and Quantum Cosmology · Physics 2016-02-22 M. Ghanaatian , A. Gharaati , F. Milani

We consider a Weyl-invariant formulation of gravity with a cosmological constant in d-dimensional spacetime and show that near two dimensions the classical action reduces to the timelike Liouville action. We show that the renormalized…

High Energy Physics - Theory · Physics 2016-08-17 Teresa Bautista , Atish Dabholkar

We argue that a spontaneous breakdown of local Weyl invariance offers a mechanism in which gravitational interactions contribute to the generation of particle masses and their electric charge. The theory is formulated in terms of a…

High Energy Physics - Theory · Physics 2009-11-07 T. Dereli , R. W. Tucker

The BRST transformations for gravity with torsion including Weyl symmetry are discussed by using the so-called Maurer-Cartan horizontality conditions. Also the coupling of scalar matter fields to gravity is incorporated in this analysis.…

High Energy Physics - Theory · Physics 2007-05-23 O. Moritsch , M. Schweda

A spatially flat Friedmann-Robertson-Walker(FRW) cosmological model with generalized Chaplygin gas is studied in the context of scalar-metric formulation of cosmology. Schutz's mechanism for the perfect fluid is applied with generalized…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Barun Majumder

In this talk notes we expose the possibility to induce the cosmological constant from extra dimensions, in a geometrical framework where our four-dimensional Riemannian space-time is embedded into a five-dimensional Weyl integrable space.…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Jose Edgar Madriz Aguilar , Carlos Romero
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