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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 113, Number 3, Pages 448–460
DOI: https://doi.org/10.4213/tmf1092
(Mi tmf1092)
 

Tensor-tensor model of gravity

M. Gogberashvili

Institute of Physics, Georgian Academy of Sciences
References:
Abstract: 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.
Received: 11.04.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 113, Issue 3, Pages 1572–1581
DOI: https://doi.org/10.1007/BF02634517
Bibliographic databases:
Language: Russian
Citation: M. Gogberashvili, “Tensor-tensor model of gravity”, TMF, 113:3 (1997), 448–460; Theoret. and Math. Phys., 113:3 (1997), 1572–1581
Citation in format AMSBIB
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\by M.~Gogberashvili
\paper Tensor-tensor model of gravity
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\issue 3
\pages 448--460
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 113
\issue 3
\pages 1572--1581
\crossref{https://doi.org/10.1007/BF02634517}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000072911400008}
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  • https://doi.org/10.4213/tmf1092
  • https://www.mathnet.ru/eng/tmf/v113/i3/p448
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