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Metric-affine f(R) theories of gravity
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abstract
General Relativity assumes that spacetime is fully described by the metric alone. An alternative is the so called Palatini formalism where the metric and the connections are taken as independent quantities. The metric-affine theory of gravity has attracted considerable attention recently, since it was shown that within this framework some cosmological models, based on some generalized gravitational actions, can account for the current accelerated expansion of the universe. However we think that metric-affine gravity deserves much more attention than that related to cosmological applications and so we consider here metric-affine gravity theories in which the gravitational action is a general function of the scalar curvature while the matter action is allowed to depend also on the connection which is not {\em a priori} symmetric. This general treatment will allow us to address several open issues such as: the relation between metric-affine $f(R)$ gravity and General Relativity (in vacuum as well as in the presence of matter), the implications of the dependence (or independence) of the matter action on the connections, the origin and role of torsion and the viability of the minimal-coupling principle.
Forward citations
Cited by 7 Pith papers
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Degenerate higher-order scalar-tensor theories in metric-affine gravity
A metric-affine version of quadratic DHOST theories is derived and reduced to a one-function family that satisfies degeneracy conditions and light-speed gravitational wave propagation.
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Inflation and Reheating by Dynamical Torsion
The dynamical-torsion inflaton decays via chiral anomalies and Yukawa-assisted three-body channels, yielding a reheating temperature of 10^5–10^7 GeV and testable CMB/GW predictions.
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Gravitational Wave Birefringence in generalized Palatini Chern Simons
Palatini f(R)+Chern–Simons gravity predicts amplitude and velocity birefringence in GW propagation, with the effect controlled by f_R and, under de-Sitter approximations, growing polynomially with redshift.
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Geometric formulation of $k$-essence and late-time acceleration
Integrable vectorial nonmetricity gravity is shown to be equivalent to purely kinetic quadratic k-essence, which fits late-time data as well as ΛCDM.
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Linear perturbations of symmetric teleparallel gravity on Minkowski background
For the most general quadratic-in-nonmetricity STG action on Minkowski background, the linear perturbation analysis yields lower bounds of 2 to 10 propagating degrees of freedom depending on the coupling constants, wi...
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Friedmann cosmology with hyperfluids
For a class of hyperfluid models in metric-affine gravity, the FLRW evolution of H(t) and rho(t) keeps the general relativity form, with hypermomentum effects encoded only in modified barotropic indices.
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Thermodynamics of $f(R)$ Theories
Starting from a quadratic Einstein-frame potential, f(R) gravity is mapped onto a van der Waals-like thermodynamic system in which inflation appears as a metastable phase and its exit as a first-order phase transition.
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