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We show that in modified $f(R)$ type gravity models with non-minimal coupling between matter and geometry, both the matter Lagrangian, and the energy-momentum tensor, are completely and uniquely determined by the form of the coupling. This…

广义相对论与量子宇宙学 · 物理学 2010-05-27 T. Harko

Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The relevant models in 3…

微分几何 · 数学 2009-08-03 Derek K. Wise

In the present paper, we study the inflationary phenomenology of a $k$-inflation corrected Einstein-Gauss-Bonnet theory. Non-canonical kinetic terms are known for producing Jean instabilities or superluminal sound wave velocities in the…

广义相对论与量子宇宙学 · 物理学 2021-02-24 S. D. Odintsov , V. K. Oikonomou , F. P. Fronimos

Scalar-tensor theories of gravity are extensions of General Relativity (GR) including an extra, nonminimally coupled scalar degree of freedom. A wide class of these theories, albeit indistinguishable from GR in the weak field regime,…

广义相对论与量子宇宙学 · 物理学 2016-06-23 Raissa F. P. Mendes , Néstor Ortiz

Quantum gravity coupled to scalar massive matter fields is investigated within the framework of causal perturbation theory. One-loop calculations include matter loop graviton self-energy and matter self-energy and yield ultraviolet finite…

高能物理 - 理论 · 物理学 2009-10-31 Nicola Grillo

We study pseudoscalar inflation in the Einstein-Cartan-Palatini (first-order) formulation of gravity while allowing for torsion. We introduce two non-minimal interactions in the gravitational sector: pseudoscalar couplings to the Pontryagin…

广义相对论与量子宇宙学 · 物理学 2026-03-23 Peter Adshead , Suddhasattwa Brahma , Indranil Das

The purpose of this work is to discuss how matter fields are coupled to gravity within the framework of General Relativity. Our particular focus here is on the coupling of scalar field models. In a first step, we suggest a new method for…

广义相对论与量子宇宙学 · 物理学 2026-04-29 Joshua Ritchie

In gravity theories derived from a f(R) Lagrangian, matter is usually supposed to be minimally coupled to the metric, which hence defines a ``Jordan frame.'' However, since the field equations are fourth order, gravity possesses an extra…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda

We consider modified theories of gravity with a direct coupling between matter and geometry, denoted by an arbitrary function in terms of the Ricci scalar. Due to such a coupling, the matter stress tensor is no longer conserved and there is…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Yousef Bisabr

We consider the space-time variation of gauge couplings in brane-world models induced by the coupling to a bulk scalar field. A variation is generated by the running of the gauge couplings with energy and a conformal anomaly while going…

天体物理学 · 物理学 2009-11-07 G. A. Palma , Ph. Brax , A. C. Davis , C. van de Bruck

The theory starts from a tentative interpretation of gravity as Archimedes' thrust exerted on matter at the scale of elementary particles by an imagined perfect fluid ("ether"): the gravity acceleration is expressed by a formula in which…

综合物理 · 物理学 2007-09-05 Mayeul Arminjon

We consider the Einstein-Cartan theory with the tetrad $e_{\mu}^{a}$ and spin connection $\omega_{\mu ab}$ taken as being independent fields. Diffeomorphism invariance and local Lorentz invariance result in there being two distinct gauge…

高能物理 - 理论 · 物理学 2025-06-05 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

We generalize Einstein's General Relativity (GR) by assuming that all matter (including macro-objects) has quantum effects. An appropriate theory to fulfill this task is Gauge Theory Gravity (GTG) developed by the Cambridge group. GTG is a…

广义相对论与量子宇宙学 · 物理学 2022-12-14 Da-Ming Chen

In the light of the new observational results we discuss the status of the exponential potentials driving inflation. We depart form the minimal scenario and study an inflaton kinetically coupled to the Einstein tensor. We find that in this…

高能物理 - 理论 · 物理学 2014-11-05 Iannis Dalianis , Fotis Farakos

Nullification of the Einstein tensor curvature for the elementary material space with active gravitational field (radial source) and passive field distribution of its inertial particle (radial sink) maintains the conceptual equivalence of…

综合物理 · 物理学 2010-11-09 I. E. Bulyzhenkov

Here we consider a variant of the 5 dimensional Kaluza-Klein theory within the framework of Einstein-Cartan formalism that includes torsion. By imposing a set of constraints on torsion and Ricci rotation coefficients, we show that the…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Karthik H. Shankar , Kameshwar C. Wali

We present a consistent and complete description of the coupling to matter in the Teleparallel Equivalent to General Relativity (TEGR) theory built from a Cartan connection, as we proposed in previous works. A first theorem allows us to…

广义相对论与量子宇宙学 · 物理学 2021-03-03 E. Huguet , M. Le Delliou , M. Fontanini , Z. -C. Lin

We investigate the scalar sector of linear cosmological perturbations in quadratic gravity. Working in the Einstein frame, we derive the equations of motion in a gauge-independent manner and express them in terms of three sets of…

广义相对论与量子宇宙学 · 物理学 2026-05-26 Adrian Palomares , Ying-li Zhang , Jinsu Kim

Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated. A symmetric conserved current, bilinear in the scalar field and containing r derivatives, is provided for any rank…

高能物理 - 理论 · 物理学 2014-11-18 Xavier Bekaert , Euihun Joung , Jihad Mourad

Constant-torsion emergent gravity (CTEG) has a Lagrangian quadratic in curvature and torsion, but without any Einstein--Hilbert term. CTEG is motivated by a unitary, power-counting renormalisable particle spectrum. The timelike axial…

广义相对论与量子宇宙学 · 物理学 2023-02-15 C. Rew , W. E. V. Barker