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Comments on MacDowell–Mansouri gravity and torsion

Unidad Académica de Física, Universidad Autónoma de Zacatecas, Calzada Solidaridad esquina con Paseo La Bufa S/N, C.P. 98060, Zacatecas, México

E-mail Address: jlopez@fisica.uaz.edu.mx

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J. E. Rosales-Quintero

Departamento de Física de la Universidad de Guanajuato, A.P. E-143, C.P. 37150, León, Guanajuato, México

E-mail Address: erosales@fisica.ugto.mx

Present Address: Preparatoria 2 de octubre de 1968, Universidad Autónoma de Puebla, P.O. Box 1364, 72000 Puebla, México.

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M. Sabido

http://orcid.org/0000-0002-5396-1433

Departamento de Física de la Universidad de Guanajuato, A.P. E-143, C.P. 37150, León, Guanajuato, México

E-mail Address: msabido@fisica.ugto.mx

Present Address: Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain.

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https://doi.org/10.1142/S0218271818500189Cited by:3 (Source: Crossref)

Abstract

Starting with the MacDowell–Mansouri formulation of gravity with a $S O (4, 1)$ $S O (4, 1)$ gauge group, we introduce new parameters into the action to include the nondynamical Holst term, and the topological Nieh–Yan and Pontryagin classes. Then, we consider the new parameters as fields and analyze the solutions coming from their equations of motion. The new fields introduce torsional contributions to the theory that modify Einstein’s equations.

Keywords:

PACS: 04.20.Fy, 04.20.Cv, 04.50.Kd

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