Tensor-tensor model of gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 3, pp. 448-460
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The main problem with the standard gauge theory of the Poincaré group, realized as a subgroup of $GL(5,R)$, is the appearance of fields connected with non-Lorentz symmetries and whose physical sense is unclear. In this paper, we treat the Poincaré gauge fields as new, Yang–Mills-type tensor fields and gravity as a Higgs–Goldstone field. In this case, the effective metric tensor for matter is a hybrid of two tensor fields. It is shown that in the linear approximation, the massive translation gauge field can give the Yukava-type correction to Newton's potential. Also, corrections to the standard Einstein post-Newtonian formulae for light deflection and radar echo delay are obtained. A spherically symmetrical solution to the equations of translation gauge fields is found. The translation gauge field leads to the existence of a singular surface inside the Schwarzschild sphere that is impenetrable to matter and can prevent gravitational collapse of a massive body.
@article{TMF_1997_113_3_a7,
author = {M. Gogberashvili},
title = {Tensor-tensor model of gravity},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {448--460},
publisher = {mathdoc},
volume = {113},
number = {3},
year = {1997},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1997_113_3_a7/}
}
M. Gogberashvili. Tensor-tensor model of gravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 3, pp. 448-460. http://geodesic.mathdoc.fr/item/TMF_1997_113_3_a7/