Raychaudhuri equations and gravitational collapse in Einstein-Cartan theory

Sudipta Hensh and Stefano Liberati
Phys. Rev. D 104, 084073 – Published 20 October 2021

Abstract

The Raychaudhuri equations for the expansion, shear, and vorticity are generalized in a spacetime with torsion for timelike as well as null congruences. These equations are purely geometrical like the original Raychaudhuri equations and could be reduced to them when there is no torsion. Using the Einstein-Cartan-Sciama-Kibble field equations, the effective stress-energy tensor is derived. We also consider an Oppenheimer-Snyder model for the gravitational collapse of dust. It is shown that the null energy condition is violated before the density of the collapsing dust reaches the Planck density, hinting that the spacetime singularity may be avoided if there is a nonzero torsion, i.e., if the collapsing dust particles possess intrinsic spin.

  • Received 20 July 2021
  • Accepted 20 September 2021

DOI:https://doi.org/10.1103/PhysRevD.104.084073

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Sudipta Hensh1,* and Stefano Liberati2,3,4,†

  • 1Research Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo náměstí 13, CZ-74601 Opava, Czech Republic
  • 2SISSA - International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy
  • 3IFPU - Institute for Fundamental Physics of the Universe, Via Beirut 2, 34014 Trieste, Italy
  • 4INFN Sezione di Trieste, Via Valerio 2, 34127 Trieste, Italy

  • *f170656@fpf.slu.cz sudiptahensh2009@gmail.com
  • liberati@sissa.it

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Issue

Vol. 104, Iss. 8 — 15 October 2021

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