F(R) gravity with a conformally invariant Maxwell field in N dimensions: spherically symmetric solutions and thin shells (presentación oral, expositor)

ERNESTO F. EIROA; GRISELDA FIGUEROA AGUIRRE

Córdoba

Conferencia; CosmoSur VI; 2022

Observatorio Astronómico de Córdoba

We generalize the spherically symmetric black hole solution previously found in N-dimensional F(R) gravity coupled to a conformally invariant Maxwell field, with constant scalar curvature R. A particular case of our solution is a generalization of the one already known in General Relativity. We also present a class of spherically symmetric thin shells within this theory and we use our generalized solution to construct examples of charged thin shells. We analyze the stability of these constructions under radial perturbations, showing that stable configurations are possible when suitable values of the parameters are adopted. We compare the higher dimensional case with the four dimensional one.