Gravitational waves in metric-affine gravity theory

Jiménez-Cano, Alejandro; Obukhov, Yuri N.

doi:10.1103/physrevd.103.024018

Cited by 10 publications

(9 citation statements)

References 138 publications

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“…defined in terms of the tensors in ( 15)-( 20) and the homothetic curvature Rab . These objects coincide with the ones employed in [25] (see the Appendix of that paper).…”

Section: Irreducible Decomposition Of the Curvature 2-formsupporting

confidence: 74%

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On parity-odd sector in metric-affine theories

2023

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We undertake the construction of quadratic parity-violating terms involving the curvature in the four-dimensional metric-affine gravity. We demonstrate that there are only 12 linearly independent scalars, plus an additional one that can be removed by using the Pontryagin invariant. Several convenient bases for this sector are provided in both components and differential form notation. We also particularize our general findings to some constrained geometries like Weyl–Cartan and metric-compatible connections.

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“…defined in terms of the tensors in ( 15)-( 20) and the homothetic curvature Rab . These objects coincide with the ones employed in [25] (see the Appendix of that paper).…”

Section: Irreducible Decomposition Of the Curvature 2-formsupporting

confidence: 74%

“…After introducing all the above useful objects, we now proceed with the irreducible decomposition under the pseudoorthogonal group (see [2,24]), following the conventions in [25].…”

Section: Irreducible Decomposition Of the Curvature Tensormentioning

confidence: 99%

On parity-odd sector in metric-affine theories

2023

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“…denoted by a calligraphic letter to indicate that it is expressed in the rotated frame, whereas the symmetric and antisymmetric components of the Expression (27) involving the indices λ and µ turn out to provide the remaining parts related to the dynamical nonmetricity and torsion tensors, respectively. The evaluation of the field equations for the mentioned decomposition can be realised in general axisymmetric space-times and, more specifically, in the PD geometry, as shown below.…”

Section: Metric-affine Gravity With Dynamical Torsion and Nonmetricitymentioning

confidence: 99%

“…Indeed, at present time there is a considerable growth of interest concerning gravitational interaction in the framework of metric-affine geometry, motivated especially by the recent progress in the search and analysis of exact solutions that enable the study of these post-Riemannian quantities at astrophysical and cosmological scales (e.g. see [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]). Following this line of research, we organise the article as follows.…”

Section: Introductionmentioning

confidence: 99%

Plebański-Demiański solutions with dynamical torsion and nonmetricity fields

Bahamonde,

Valcarcel,

Järv

2022

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We construct Plebański-Demiański stationary and axisymmetric solutions with two expanding and double principal null directions in the framework of Metric-Affine gauge theory of gravity. Starting from the new improved form of the metric with vanishing cosmological constant recently achieved by Podolský and Vrátný, we extend this form in the presence of a cosmological constant and derive the conditions under which the physical sources of the torsion and nonmetricity tensors provide dynamical contributions preserving this form in Weyl-Cartan geometry. The resulting black hole configurations are characterised by the mass, orbital angular momentum, acceleration, NUT parameter, cosmological constant and electromagnetic charges of the Riemannian sector of the theory, as well as by the spin and dilation charges of the torsion and nonmetricity fields. The former is subject to a constraint representing a decoupling limit with the parameters responsible of axial symmetry, beyond which the geometry of the space-time is expected to be corrected.

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“…It was shown for the simpler case of Poincaré Gauge gravity (PG), in which the nonmetricity is assumed to be zero, that the Yang-Mills-like Lagrangian does not have the appropriate Einsteinian limit [11]. 1 For this reason, in PG and, by extension, in MAG, the Lagrangian is usually constructed as the most general quadratic combination in torsion, nonmetricity and curvature, and the result is known as the quadratic metric-affine Lagrangian (qMAG) [14][15][16][17][18] (sub-cases of which have been considered e.g. in [19][20][21]).…”

Section: Introductionmentioning

confidence: 99%

Vector stability in quadratic metric-affine theories

Jiménez-Cano¹,

Torralba²

2022

Preprint

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In this work we study the stability of the four vector irreducible pieces of the torsion and the nonmetricity tensors in the general quadratic metric-affine Lagrangian in 4 dimensions. This highly constrains the theory reducing the parameter space of the quadratic curvature part from 16 to 5 parameters. We also study the sub-case of Weyl-Cartan gravity, proving that the stability of the vector sector completely fixes the dynamics of the full Lagrangian to just an Einstein-Proca theory or pure General Relativity.

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Gravitational waves in metric-affine gravity theory

Cited by 10 publications

References 138 publications

On parity-odd sector in metric-affine theories

On parity-odd sector in metric-affine theories

Plebański-Demiański solutions with dynamical torsion and nonmetricity fields

Vector stability in quadratic metric-affine theories

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