Constraining Torsion in Maximally symmetric (sub)spaces

Abstract

We look into the general aspects of space-time symmetries in presence of torsion, and how the latter is affected by such symmetries. Focusing in particular to space-times which either exhibit maximal symmetry on their own, or could be decomposed to maximally symmetric subspaces, we work out the constraints on torsion in two different theoretical schemes. We show that at least for a completely antisymmetric torsion tensor (for e.g. the one motivated from string theory), an equivalence is set between these two schemes, as the non-vanishing independent torsion tensor components turn out to be the same.

20 pages, No figures, 2 Tables

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Cited by in corpus (11)

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• Extended Reissner-Nordström solutions sourced by dynamical torsion
• Dynamical system analysis of dark energy models in scalar coupled metric-torsion theories
• Generalized Birkhoff theorem in the Poincaré gauge gravity theory
• Birkhoff's theorem for stable torsion theories
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Integrability Conditions for Killing-Yano Tensors and Maximally Symmetric Spaces in the Presence of Torsion
• Symmetries and conserved quantities with arbitrary torsion: A generalization of Killing's theorem
• Gravitational lensing by a black hole in Poincar{é} gauge theory of gravity
• Correspondence between Einstein-Yang-Mills-Lorentz systems and dynamical torsion models