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We present a systematic exposition of the Lagrangian field theory for the massive spin-two field generated in higher-derivative gravity. It has been noticed by various authors that this nonlinear field overcomes the well known inconsistency…

广义相对论与量子宇宙学 · 物理学 2009-11-07 G. Magnano , L. M. Sokolowski

A first-order action for scalar-tensor theories of gravity is proposed. The Hamiltonian analysis of the action gives the desired connection dynamical formalism, which was derived from the geometrical dynamics by canonical transformations.…

广义相对论与量子宇宙学 · 物理学 2013-05-07 Zhenhua Zhou , Haibiao Guo , Yu Han , Yongge Ma

We find exact solutions for f (T) teleparallel gravity for the cases of spherically and cylindrically symmetric tetrads. The adopted method is based on the search for Noether symmetries of point-like Lagrangians defined in Jordan and…

广义相对论与量子宇宙学 · 物理学 2020-03-18 Ali Nur Nurbaki , Salvatore Capozziello , Cemsinan Deliduman

We study the evolution of homogeneous and isotropic, flat cosmological models within the general scalar-tensor theory of gravity with arbitrary coupling function and potential and scrutinize its limit to general relativity. Using the…

广义相对论与量子宇宙学 · 物理学 2009-04-24 Piret Kuusk , Laur Jarv , Margus Saal

A covariant reformulation of General Relativity is briefly considered from three points of view: geometrodynamics, Lagrange-Euler field theory, and gauge field theory. From a geometrodynamics perspective, a definition of the reference frame…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Alexander Poltorak

We tudy flat Friedmann-Robertson-Walker cosmology in Brans-Dicke-type theories of gravitation with minimal coupling between the scalar field and the matter fields in the Einstein frame (general relativity with an extra scalar field) for…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Israel Quiros , Rolando Bonal , Rolando Cardenas

We present an extended study of inflationary models that inflaton field is non-minimally coupled with gravity. We study parameters space of the models up to the second (and in some cases third) order of the slow-roll parameters for usual…

广义相对论与量子宇宙学 · 物理学 2017-10-16 M. Shokri

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…

广义相对论与量子宇宙学 · 物理学 2019-11-27 Roger A. Hurtado , Robel Arenas

Dark energy dynamics of the universe can be achieved by equivalent mathematical descriptions taking into account generalized fluid equations of state in General Relativity, scalar-tensor theories or modified F(R) gravity in Einstein or…

高能物理 - 理论 · 物理学 2008-11-26 S. Capozziello , S. Nojiri , S. D. Odintsov

We discuss a class of teleparallel scalar-torsion theories of gravity, which is parametrized by five free functions of the scalar field. The theories are formulated covariantly using a flat, but non-vanishing spin connection. We show how…

广义相对论与量子宇宙学 · 物理学 2018-09-12 Manuel Hohmann

We investigate the gauge-invariant cosmological perturbations in the gravity and matter frames in the general scalar-tensor theory where two frames are related by the disformal transformation. The gravity and matter frames are the…

宇宙学与河外天体物理 · 物理学 2014-09-05 Masato Minamitsuji

A theory of quantum gravity consists of a gravitational framework which, unlike general relativity, takes into account the quantum character of matter. In spite of impressive advances, no fully satisfactory, self-consistent and empirically…

广义相对论与量子宇宙学 · 物理学 2025-06-23 R. Muciño , E. Okon , D. Sudarsky , M. Wiedemann

Recently we have presented a new formulation of the theory of gravity based on an implementation of the Einstein Equivalence Principle distinct from General Relativity. The kinetic part of the theory - that describes how matter is affected…

广义相对论与量子宇宙学 · 物理学 2010-10-27 M. Novello

We explore cosmological particle production associated with inflationary fluctuations by comparing gravitational and geometric mechanisms, within a non-minimal Yukawa-like coupling between a inflaton and spacetime curvature. We show under…

广义相对论与量子宇宙学 · 物理学 2025-12-04 Alessio Belfiglio , Orlando Luongo , Tommaso Mengoni

The presence of scalar fields with non-minimal gravitational interactions of the form $\xi |\phi|^2 R$ may have important implications for the physics of the early universe. While many studies solve the dynamics of non-minimally coupled…

宇宙学与河外天体物理 · 物理学 2024-07-09 Daniel G. Figueroa , Adrien Florio , Toby Opferkuch , Ben A. Stefanek

We profit by a recent paper of Visser claiming that Rastall gravity is equivalent to Einstein gravity to compare the two gravitational theories in a general way. Our conclusions are different from Visser's ones. We indeed argue that these…

广义相对论与量子宇宙学 · 物理学 2018-01-16 F. Darabi , H. Moradpour , I. Licata , Y. Heydarzade , C. Corda

Conformal symmetries appear in many parts of physics and play a unique role in exploring the Universe. In this work, we consider the possibility of constructing conformal theories of gravity in the Symmetric Teleparallel Gravity framework,…

广义相对论与量子宇宙学 · 物理学 2020-03-18 Viktor Gakis , Martin Krššák , Jackson Levi Said , Emmanuel N. Saridakis

A new systematic approach extending the notion of frames to the Palatini scalar-tensor theories of gravity in various dimensions n>2 is proposed. We impose frame transformation induced by the group action which includes almost-geodesic and…

高能物理 - 理论 · 物理学 2019-05-01 Aleksander Kozak , Andrzej Borowiec

We study spherically-symmetric structures in Conformal Gravity and in a scalar-tensor extension and gain some more insight about these gravitational theories. In both cases we analyze solutions in two systems: perfect fluid solutions and…

广义相对论与量子宇宙学 · 物理学 2010-01-07 Y. Brihaye , Y. Verbin

To explore possibilities of avoiding coincidence problem in $f(R)$ gravity we consider models in Einstein conformal frame which are equivalent to Einstein gravity with a minimally coupled scalar field. As the conformal factor determines the…

广义相对论与量子宇宙学 · 物理学 2013-02-05 A. Sil , S. Som