Metric-affine 
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 theories of gravity and their applications

Barrientos, E.; Lobo, Francisco S. N.; Mendoza, S.; Olmo, Gonzalo J.; Rubiera-García, Diego

doi:10.1103/physrevd.97.104041

Cited by 65 publications

(44 citation statements)

References 51 publications

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“…where the subscript 0 denotes evaluation at the point (φ 0 , ξ 0 ), and W 0 , W 0,φ are related to the background curvature by means of (15) and (16). Especially, it is more convenient recast (15) as…”

Section: Post-newtonian Correctionsmentioning

confidence: 99%

Scalar modes in extended hybrid metric-Palatini gravity: Weak field phenomenology

Bombacigno

Moretti

Montani³

2019

Phys. Rev. D

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We investigate the nature of additional scalar degrees of freedom contained in extended hybrid metric-Palatini gravity, outlining the emergence of two coupled dynamical scalar modes. In particular, we discuss the weak field limit of the theory, both in the static case and from a gravitational waves perspective. In the first case, performing an analysis at the lowest order of the parametrized post-Newtonian structure of the model, we stress the settling of Yukawa corrections to the Newtonian potential. In this respect, we show that one scalar field can have long range interactions and used in the principle for mimicking dark matter effects. Concerning the gravitational waves propagation, instead, we demonstrate that is possible to have well-defined physical degrees of freedom, provided by suitable constraints on model parameters. Moreover, the study of the geodesic deviation points out the presence of breathing and longitudinal polarizations due to these novel scalar waves, which on peculiar assumptions can give rise to beating phenomena during their propagation.

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Section: Post-newtonian Correctionsmentioning

confidence: 99%

Scalar modes in extended hybrid metric-Palatini gravity: Weak field phenomenology

Bombacigno

Moretti

Montani³

2019

Phys. Rev. D

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“…(59) As with the electromagnetic field, specifying particular f (R, L m , V ) functions and solving the associated field equations will conceivably yield new non-minimal corrections to ordinary GR problems, which brings about new possibilities. For example, as posited for Palatini f (R, T ) gravity [29], free [U (φ) = 0] geonic solutions of the kind in EiBI gravity [40] are conceivable in the present theory.…”

Section: B Canonical Scalar Fieldsmentioning

confidence: 73%

“…We also note that these equations again differ drastically in their matter-curvature couplings from the field equations for NED in f (R, T ) gravity (see, e.g., Ref. [29]). This much is evident from the f V coupling terms, which persist only in the f (R, L m , V ) framework.…”

Section: A Electromagnetic Fieldsmentioning

confidence: 84%

Palatini f(R,Lm,RμνTμν

Fox

2019

Phys. Rev. D

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We investigate Palatini f (R, Lm, Rµν T µν ) modified theories of gravity wherein the metric and affine connection are treated as independent dynamical fields and the gravitational Lagrangian is made a function of the Ricci scalar R, the matter Lagrangian density Lm, and a "matter-curvature scalar" Rµν T µν . The field equations and the equations of motion for massive test particles are derived, and we show that the independent connection can be expressed as the Levi-Civita connection of an auxiliary, energy-momentum dependent metric, related to the physical metric by a matrix transformation. Similar to metric f (R, T, Rµν T µν ) gravity, the field equations impose the nonconservation of the energy-momentum tensor, leading to an appearance of an extra force on massive test particles. We obtain the explicit form of the field equations for massive test particles in the case of a perfect fluid, and an expression for the extra force. The nontrivial modifications to scalar fields and both linear and nonlinear electrodynamics are also considered. Finally, we detail the conditions under which the present theory is equivalent to the Eddington-inspired Born-Infeld (EiBI) model.

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“…An alternative approach, which keeps the order of the differential equations of the model not higher than two would be to solve first the gravitational field equations in the conformal metricg μν , and to recover the metric g μν with the use of the conformal transformation (25). To obtain the field equations in the conformal frame we follow the procedure introduced in [83]. First we multiply the Palatini field equation (14) with…”

Section: Field Equations In Theg Framementioning

confidence: 99%

“…Similar to the metric case, the field equations impose the non-conservation of the energy-momentum tensor. The study of Palatini formulation of f (R, T ) gravity was initiated in [83]. Analogously to its metric counterpart, the field equations impose of the f (R, T ) gravity in the Palatini formulation implies the nonconservation of the energy-momentum tensor, which leads to non-geodesic motion, and to the appearance of an extra force.…”

Section: Introductionmentioning

confidence: 99%

Palatini formulation of f(R, T) gravity theory, and its cosmological implications

Jimin¹,

Li²,

Harkó³

et al. 2018

Eur. Phys. J. C

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We consider the Palatini formulation of f (R, T ) gravity theory, in which a non-minimal coupling between the Ricci scalar and the trace of the energy-momentum tensor is introduced, by considering the metric and the affine connection as independent field variables. The field equations and the equations of motion for massive test particles are derived, and we show that the independent connection can be expressed as the Levi-Civita connection of an auxiliary, energy-momentum trace dependent metric, related to the physical metric by a conformal transformation. Similar to the metric case, the field equations impose the nonconservation of the energy-momentum tensor. We obtain the explicit form of the equations of motion for massive test particles in the case of a perfect fluid, and the expression of the extra force, which is identical to the one obtained in the metric case. The thermodynamic interpretation of the theory is also briefly discussed. We investigate in detail the cosmological implications of the theory, and we obtain the generalized Friedmann equations of the f (R, T ) gravity in the Palatini formulation. Cosmological models with Lagrangians of the type f = R − α 2 /R + g(T ) and f = R + α 2 R 2 + g(T ) are investigated. These models lead to evolution equations whose solutions describe accelerating Universes at late times.

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Metric-affine f(R,T) theories of gravity and their applications

Cited by 65 publications

References 51 publications

Scalar modes in extended hybrid metric-Palatini gravity: Weak field phenomenology

Scalar modes in extended hybrid metric-Palatini gravity: Weak field phenomenology

Palatini f(R,Lm,RμνTμν

Palatini formulation of f(R, T) gravity theory, and its cosmological implications

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