Sixteenth Marcel Grossmann Meeting

Scalar configurations in Quadratic Palatini Gravity: The Persistence of Wormholes

7 Jul 2021, 08:10

20m

Talk in the parallel session Exact Solutions (including higher dimensions) Exact Solutions (Including Higher Dimensions)

Speaker

Renan B. Magalhães (Universidade Federal do Pará)

Description

Using the algorithm proposed to map solutions of General Relativity (GR) into Ricci-Based Gravity theories, we extend the search for scalar configurations in quadratic gravity theories with curvature dependence in both Ricci scalar, $R$, and Ricci-squared scalar, $Q=R_{\mu \nu }{R}^{\mu \nu }$. We describe the general method to map a scalar configuration of GR into $f(R,Q)$, and illustrate this procedure by applying it to the quadratic model $f(R,Q)=R+a{R}^2+bQ$. We find scalar field solutions that, depending on the parameters $a$ and $b$, can describe quite different compact objects, such as wormholes and compact balls. We compare the solutions found in the $f(R,Q)$ theory context with the GR seed solution and previous scalar configurations found in a quadratic $f(R)$ theory, pointing out some differences between them. We analyze some properties of the solutions found, in particular we study their geodesic structure.