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We study modified theories of gravity of the f(R) type in Palatini formalism. For a generic f(R) lagrangian, we show that the metric can be solved as the product of a scalar function times a rank-two tensor (or auxiliary metric). The scalar…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Gonzalo J. Olmo

We study scalar, fermionic and gauge fields coupled nonminimally to gravity in the Einstein-Cartan formulation. We construct a wide class of models with nondynamical torsion whose gravitational spectra comprise only the massless graviton.…

高能物理 - 理论 · 物理学 2021-09-22 Georgios K. Karananas , Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

A modified gravitational model whose action is given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field, and its kinetic term is investigated as an extension of the gravitational sector including an…

广义相对论与量子宇宙学 · 物理学 2026-05-21 Faizuddin Ahmed , A. F. Santos

We study a theory of gravity of the form $f(\mathcal{G})$ where $\mathcal{G}$ is the Gauss-Bonnet topological invariant without considering the standard Einstein-Hilbert term as common in the literature, in arbitrary $(d+1)$ dimensions. The…

广义相对论与量子宇宙学 · 物理学 2020-01-30 Francesco Bajardi , Konstantinos F. Dialektopoulos , Salvatore Capozziello

The generalized hybrid metric-Palatini gravity is a theory of gravitation that has an action composed of a Lagrangian $f(R,\cal R)$, where $f$ is a function of the metric Ricci scalar $R$ and a new Ricci scalar $\cal R$ formed from a…

广义相对论与量子宇宙学 · 物理学 2022-01-07 João Luís Rosa , José P. S. Lemos

A set of new exact analytical General Relativity (GR) solutions with time-dependent and spatially inhomogeneous quintessence demonstrate 1) a static non-empty space-time with a horizon-type singular surface; 2) time-dependent spatially…

天体物理学 · 物理学 2014-10-13 Arthur D. Chernin , David I. Santiago , Alexander S. Silbergleit

Motivated by the lack of rotating solutions sourced by matter in General Relativity as well as in modified gravity theories, we extend a recently discovered exact rotating solution of the minimal Einstein-scalar theory to its counterpart in…

广义相对论与量子宇宙学 · 物理学 2021-03-17 Wei-Hsiang Shao , Che-Yu Chen , Pisin Chen

The quadratic gravity constraints are reformulated in terms of the Newman-Penrose-like quantities. In such a frame language, the field equations represent a linear algebraic system for the Ricci tensor components. In principle, a procedure…

广义相对论与量子宇宙学 · 物理学 2023-02-08 Robert Svarc , Alena Pravdova , David Miskovsky

We study Palatini f(R) cosmology using Noether symmetry approach for the matter dominated universe. In order to construct a point-like Lagrangian in the flat FRW space time, we use the dynamical equivalence between f(R) gravity and…

广义相对论与量子宇宙学 · 物理学 2011-05-19 Mahmood Roshan , Fatimah Shojai

We consider the space-time metric generated by a global monopole in an extension of General Relativity (GR) of the form $f(\mathcal{R})=\mathcal{R}-\lambda \mathcal{R}^2$. The theory is formulated in the metric-affine (or Palatini)…

广义相对论与量子宇宙学 · 物理学 2019-04-03 J. R. Nascimento , Gonzalo J. Olmo , A. Yu. Petrov , P. J. Porfirio , A. R. Soares

We investigate the physical properties of quark stars with two different equations of state in generalized hybrid metric-Palatini gravity. This theory corresponds to a bi-scalar gravitational theory in which there are two…

广义相对论与量子宇宙学 · 物理学 2024-10-15 R. Aliannejadi , Z. Haghani

Exact solutions are obtained in the quadratic theory of gravity with a scalar field for wave-like models of space-time with spatial homogeneity symmetry and allowing the integration of the equations of motion of test particles in the…

广义相对论与量子宇宙学 · 物理学 2022-03-10 K. E. Osetrin , I. V. Kirnos , E. K. Osetrin , A. E. Filippov

We investigate static spherically symmetric solutions in the Palatini kinetically coupled scalar-tensor theory, which reduces to gravity minimally coupled to a scalar field in Einstein frame. Using the fact that the Jordan and Einstein…

广义相对论与量子宇宙学 · 物理学 2021-10-29 D. V. Gal'tsov , D. S. Bushuev

We propose a cosmological model in the framework of the Poincar\'e gauge theory of gravity (PG). The gravitational Lagrangian is quadratic in curvature and torsion. In our specific model, the Lagrangian contains (i) the curvature scalar $R$…

广义相对论与量子宇宙学 · 物理学 2011-02-25 Peter Baekler , Friedrich W. Hehl , James M. Nester

We present a reconstruction technique for models of $f(R)$ gravity from the Chaplygin scalar field in flat de Sitter spacetimes. Exploiting the equivalence between $f(R)$ gravity and scalar-tensor theories, and treating the Chaplygin gas as…

广义相对论与量子宇宙学 · 物理学 2018-02-14 Heba Sami , Neo Namane , Joseph Ntahompagaze , Maye Elmardi , Amare Abebe

We generalize the known equivalence between higher order gravity theories and scalar tensor theories to a new class of theories. Specifically, in the context of a first order or Palatini variational principle where the metric and connection…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Eanna E. Flanagan

Recently, a modified theory of gravity was presented, which consists of the superposition of the metric Einstein-Hilbert Lagrangian with an $f(\cal R)$ term constructed \`{a} la Palatini. The theory possesses extremely interesting features…

广义相对论与量子宇宙学 · 物理学 2012-12-20 Salvatore Capozziello , Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo

Alternative gravitational theories described by Lagrangians depending on general functions of the Ricci scalar have been proven to give coherent theoretical models to describe the experimental evidence of the acceleration of universe at…

高能物理 - 理论 · 物理学 2011-07-19 G. Allemandi , A. Borowiec , M. Francaviglia

We derive a new set of field equations within the framework of the Palatini formalism.These equations are a natural generalization of the Einstein-Maxwell equations which arise by adding a function $\mathcal{F}(\mathcal{Q})$, with…

广义相对论与量子宇宙学 · 物理学 2013-02-26 Ginés R. Pérez Teruel

A new class of modified theories of gravity, consisting of the superposition of the metric Einstein-Hilbert Lagrangian with an $f(\cal R)$ term constructed \`{a} la Palatini was proposed recently. The dynamically equivalent scalar-tensor…

广义相对论与量子宇宙学 · 物理学 2013-04-05 Salvatore Capozziello , Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo