Conserved quantities in the presence of torsion: A generalization of Killing theorem

Bonder, Yuri

doi:10.1142/s0217732320500522

Cited by 4 publications

(3 citation statements)

References 44 publications

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“…The search of black hole configurations requires to solve the system of field equations (3.4)-(3.5) in vacuum, which can be addressed by considering as a guiding principle the imposition of certain space-time symmetries. In the simplest case, the metric, torsion and nonmetricity tensors satisfy the same symmetry conditions provided by a Killing vector ξ (see [54] for alternative generalisations), which in turn are consequently reflected on the curvature tensor:…”

Section: Invariance Conditions and Consistency Constraintsmentioning

confidence: 99%

New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity

Bahamonde

Chevrier

Valcárcel

2023

J. Cosmol. Astropart. Phys.

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In the framework of Metric-Affine Gravity, the existing correspondence between the Einstein tensor and the energy-momentum tensor of matter provided by General Relativity is extended towards a post-Riemannian description in terms of the torsion and nonmetricity fields, which are sourced by the spin, dilation and shear currents of matter. In this work, we focus on the dynamical role of the traceless part of the nonmetricity tensor and its intrinsic connection with shears, defining a model which encloses a new black hole solution endowed with shear charges. We show that the extension in the presence of dynamical torsion and Weyl vector leads to the broadest family of static and spherically symmetric black hole solutions with spin, dilation and shear charges in Metric-Affine Gravity so far.

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Section: Invariance Conditions and Consistency Constraintsmentioning

confidence: 99%

New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity

Bahamonde

Chevrier

Valcárcel

2023

J. Cosmol. Astropart. Phys.

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“…The search of black hole configurations requires to solve the system of field equations ( 23)-( 24) in vacuum, which can be addressed by considering as a guiding principle the imposition of certain space-time symmetries. In the simplest case, the metric, torsion and nonmetricity tensors satisfy the same symmetry conditions provided by a Killing vector ξ (see [48] for alternative generalisations), which in turn are consequently reflected on the curvature tensor:…”

Section: A Invariance Conditions and Consistency Constraintsmentioning

confidence: 99%

New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity

Bahamonde,

Chevrier,

Valcarcel

2022

Preprint

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In the framework of Metric-Affine Gravity, the existing correspondence between the Einstein tensor and the energy-momentum tensor of matter provided by General Relativity is extended towards a post-Riemannian description in terms of the torsion and nonmetricity fields, which are sourced by the spin, dilation and shear currents of matter. In this work, we focus on the dynamical role of the traceless part of the nonmetricity tensor and their intrinsic connection with shears, defining a model which encloses a new black hole solution endowed with shear charges. We show that the extension in the presence of dynamical torsion and Weyl vector leads to the broadest family of static and spherically symmetric black hole solutions with spin, dilation and shear charges in Metric-Affine Gravity so far.

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“…Fortunately, the presence of Killing vector fields allows one to easily calculate the geodesics [8,47] (see Ref. 48 for an extension of this method), which represent the trajectories of light and material probes.…”

Section: Experimental Constraintsmentioning

confidence: 99%

Explicit Lorentz violation in a static and spherically-symmetric spacetime

Bonder

2020

Phys. Rev. D

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Lorentz violation is motivated by quantum gravity and it is generically described by nondynamical tensors. In this work a Lorentz violating extension of general relativity is studied where a nondynamical tensor couples to the Weyl tensor. A family of static and spherically symmetric solutions in vacuum is found, confirming that there are consistent solutions with explicit Lorentz violation in dynamical spacetimes. These solutions produce an unconventional dependence of the gravitational redshift, which, in turn, leads to the first bounds on such nondynamical tensor that do not rely on the physics of the early universe. Moreover, the bounds obtained in this work are competitive with respect to limits on similar nondynamical tensors.

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Conserved quantities in the presence of torsion: A generalization of Killing theorem

Cited by 4 publications

References 44 publications

New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity

New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity

New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity

Explicit Lorentz violation in a static and spherically-symmetric spacetime

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