Scalar-multitensor approach to teleparallel modified theories of gravity
| Autor: | P. J. Pompeia |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
010308 nuclear & particles physics Scalar (mathematics) Mathematics::Analysis of PDEs Order (ring theory) Field (mathematics) 01 natural sciences General Relativity and Quantum Cosmology 0103 physical sciences Jordan and Einstein frames Nabla symbol Tensor 010306 general physics Mathematical physics |
| Zdroj: | Physical Review D. 103 |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.103.124036 |
| Popis: | The analysis of teleparallel $f(T,{\ensuremath{\nabla}}_{{\ensuremath{\mu}}_{1}}T,\dots{},{\ensuremath{\nabla}}_{{\ensuremath{\mu}}_{n}}\ensuremath{\cdots}{\ensuremath{\nabla}}_{{\ensuremath{\mu}}_{1}}T)$ gravity in the Jordan and Einstein frames is presented. The equivalence between $f(T,{\ensuremath{\nabla}}_{{\ensuremath{\mu}}_{1}}T,\dots{},{\ensuremath{\nabla}}_{{\ensuremath{\mu}}_{n}}\ensuremath{\cdots}{\ensuremath{\nabla}}_{{\ensuremath{\mu}}_{1}}T)$ gravity and a scalar-multitensor theory is proved in both frames for systems with a regular Hessian matrix. For each order of derivative an auxiliary tensor of the same order is introduced. As a consequence, the order of the differential equation for the tetrad field is reduced to an equation of order two, but the price to be paid is the analysis of a system of coupled equations for the auxiliary fields. |
| Databáze: | OpenAIRE |
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