An analysis of Born-Infeld determinantal gravity in Weitzenbock spacetime
Abstract
The Born-Infeld theory of the gravitational field formulated in Weitzenbock spacetime is studied in detail. The action, constructed quadratically upon the torsion two-form, reduces to Einstein gravity in the low field limit where the Born-Infeld constant goes to infinity, and it is described by second order field equations for the vielbein field in spacetime dimensions. The equations of motion are derived, and a number of properties coming from them are discussed. In particular, we show that under fairly general circumstances, the equations of motion are those of Einstein's General Relativity plus an energy-momentum tensor of purely geometrical character. This tensor is obtained solely from the parallelization defining the spacetime structure, which is encoded in a set of D smooth, everywhere non-null, globally defined 1-forms. Spherical symmetry is studied as an example, and we comment on the emergence of the Schwarzschild geometry within this framework. Potential (regular) extensions of it are envisioned.
Cite
@article{arxiv.1608.02622,
title = {An analysis of Born-Infeld determinantal gravity in Weitzenbock spacetime},
author = {Franco Fiorini and Nicolas Vattuone},
journal= {arXiv preprint arXiv:1608.02622},
year = {2016}
}
Comments
8 pages, no figures. Additional comments at the end of Sec. II. Two more references are included. Accepted in PLB