IWARA2022 - 10th International Workshop on Astronomy and Relativistic Astrophysics

Landau-Lifshitz and Weinberg energy-momentum complexes for a f(R)-modified gravity black hole solution with electric and magnetic charges

9 Sept 2022, 12:00

20m

Talk (virtual)

Speaker

Irina Radinschi (Department of Physics, Gheorghe Asachi Technical University, Iasi)

Description

The problem of energy-momentum localization for a four-dimensional, spherically symmetric, electrically as well as magnetically charged black hole solution in a $f(R)$-type modified gravity with $(R)=R+2\beta \sqrt{R-8\mathrm{\Lambda }}$ is studied. Asymptotically this solution behaves as an AdS or dS space-time, while it transforms to the Reissner-Nordstr\"{o}m solution in the case of zero magnetic charge. The energy and momentum distributions are computed by utilizing the Landau-Lifshitz and the Weinberg energy-momentum complexes. In both prescriptions all the momenta vanish, while the energy is found to depend on the electric and the magnetic charge, the mass $m$, the dimensional metric parameter $\beta$, the cosmological constant $\mathrm{\Lambda }$, and the radial coordinate $r$. The behavior of the energy is examined near the origin and near infinity, while the special case of zero electric charge is also considered. Furthermore, some investigations of a possible astrophysical interest are performed.