G\'{o}del-type solutions within the $f(R,Q,P)$ gravity
| Autor: | Nascimento, J. R., Petrov, A. Yu., Porfirio, P. J., da Silva, Ramires N. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Eur. Phys. J. C 83, 331 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epjc/s10052-023-11521-y |
| Popis: | In this work, we scrutinize the consistency of spacetime homogeneous G\"{o}del-type metrics within $f(R,Q,P)$ theories of gravity for well-motivated matter sources. As it is well known, such geometries allow for causality violation. We provide general conditions to engender completely causal solutions in a manner completely different from general relativity. We take some specific models, for instance, $f(R,Q,P)=R -\dfrac{\mu^{4n+2}}{\left(a R^2+b Q+c P\right)^n}$, to illustrate the general results. Notably, we also find an unusual completely causal vacuum solution in the presence of a non-trivial cosmological constant which corresponds to the case $m^2=4\omega^2$. Comment: 18 pages, matches published version |
| Databáze: | arXiv |
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