Orbits of particles and black hole thermodynamics in a spacetime with torsion

• Main Authors: Nodijeh, S. Gharibi, Akhshabi, S, Khajenabi, F
• Format: Journal Article
• Language: English
• Published: 16-05-2019
• Subjects: Physics - General Relativity and Quantum Cosmology
• DOI: 10.48550/arxiv.1905.07105

We derive the static spherically symmetric vacuum solution for a spacetime
with non-vanishing torsion by solving the field equations analytically. The
effects of torsion appear as a single parameter in the line element. For the
positive values of this parameter, the resulting line element is found to be of
the Reissner-Nordstrom type. This parameter is related to the spin of matter
and acts as a torsion 'charge' much like the electric charge in conventional
Reissner-Nordstrom geometry. We also analyze the existence and stability of the
orbits for both massless and massive particles in this setup and compare the
results to the corresponding case in general relativity. We also derive the
first law of black hole thermodynamics for a black hole with torsion and define
the black hole temperature and entropy in terms of its mass and torsion charge.