Cosmological hyperfluids, torsion and non-metricity
TLDR
In this paper, a model for cosmological hyperfluid fluids with intrinsic hypermomentum that induce spacetime torsion and non-metricity is presented.Abstract:
We develop a novel model for cosmological hyperfluids, that is fluids with intrinsic hypermomentum that induce spacetime torsion and non-metricity. Imposing the cosmological principle to metric-affine spaces, we present the most general covariant form of the hypermomentum tensor in an FLRW Universe along with its conservation laws and therefore construct a novel hyperfluid model for cosmological purposes. Extending the previous model of the unconstrained hyperfluid in a cosmological setting we establish the conservation laws for energy–momentum and hypermomentum and therefore provide the complete cosmological setup to study non-Riemannian effects in Cosmology. With the help of this we find the forms of torsion and non-metricity that were earlier reported in the literature and also obtain the most general form of the Friedmann equations with torsion and non-metricity. We also discuss some applications of our model, make contact with the known results in the literature and point to future directions.read more
Citations
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Geodesic deviation, Raychaudhuri equation, Newtonian limit, and tidal forces in Weyl-type $f(Q,T)$ gravity
TL;DR: In this article, the effects of the Weyl geometry and of the extra force induced by the non-metricity-matter coupling are explicitly taken into account, and the generalized Poisson equation is derived.
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Quasinormal modes of Schwarzschild black holes in projective invariant Chern-Simons modified gravity
TL;DR: In this article , the authors generalize the Chern-Simons modified gravity to the metric-affine case and impose projective invariance by supplementing the Pontryagin density with homothetic curvature terms which do not spoil topologicity.
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Parity Violating Metric-Affine Gravity Theories
TL;DR: In this paper, a parity violating metric-affine gravitational theory given by the Einstein-Hilbert action plus the so-called Holst term in vacuum was studied and it was shown that for a certain value of the Barbero-Immirzi parameter the total action possesses a remarkable invariance under particular transformations of the affine connection.
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Complete classification of cosmological teleparallel geometries
TL;DR: In this paper, the notion of cosmological symmetry, i.e., spatial homogeneity and isotropy, is considered in the field of teleparallel gravity and geometry.
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Torsional birefringence in metric-affine Chern-Simons gravity: gravitational waves in late-time cosmology
TL;DR: In this article , the authors derived analytical solutions for torsion and nonmetricity in the homogeneous and isotropic cosmological case, described by a flat Friedmann-Robertson-Walker metric.
References
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