Black Holes in 2+1 Teleparallel Theories of Gravity | Zendy

A. A. Sousa | Zendy; J. W. Maluf | Zendy

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Black Holes in 2+1 Teleparallel Theories of Gravity

Author(s) -

A. A. Sousa,

J. W. Maluf

Publication year - 2002

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.108.457

Subject(s) - physics , hamiltonian (control theory) , mathematical physics , gravitation , einstein , field equation , black hole (networking) , gravitational field , classical mechanics , mathematical optimization , computer network , routing protocol , routing (electronic design automation) , mathematics , computer science , link state routing protocol

We apply the Hamiltonian formulation of teleparallel theories of gravity in2+1 dimensions to a circularly symmetric geometry. We find a family ofone-parameter black hole solutions. The BTZ solution fixes the unique freeparameter of the theory. The resulting field equations coincide with theteleparallel equivalent of Einstein's three-dimensional equations. We calculatethe gravitational energy of the black holes by means of the simple expressionthat arises in the Hamiltonian formulation and conclude that the resultingvalue is identical to that calculated by means of the Brown-York method.Comment: 20 pages, Latex file, no figure

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