Spanish and Portuguese Relativity Meeting

Static and spherically symmetric vacuum spacetimes with non-expanding principal null directions in f(R) gravity

24 Jul 2024, 16:45

15m

Auditorium E10B

Parallel session 12 (Modified Gravity)

Speaker

ALBERTO GUILABERT MARTINEZ (Universidad de Alicante)

Description

In this work we characterize all the static and spherically symmetric vacuum solutions in $f(R)$ gravity when the principal null directions of the Weyl tensor are non-expanding. In contrast to General Relativity, we show that the Nariai spacetime is not the only solution of this type when general $f(R)$ theories are considered. In particular, we find four different solutions for the non-constant Ricci scalar case, all of them corresponding to the same theory, given by $f(R)=r_0^{-1}{|R-3/r_0^2|}^{1/2}$, where $r_0$ is a non-null constant. Finally, we briefly present some geometric properties of these solutions.

Presentation materials

EREP24_AlbertoGuilabert.pdf