2 research outputs found
Black hole solutions in scalar-tensor symmetric teleparallel gravity
Symmetric teleparallel gravity is constructed with a nonzero nonmetricity
tensor while both torsion and curvature are vanishing. In this framework, we
find exact scalarised spherically symmetric static solutions in scalar-tensor
theories built with a nonminimal coupling between the nonmetricity scalar and a
scalar field. It turns out that the Bocharova-Bronnikov-Melnikov-Bekenstein
solution has a symmetric teleparallel analogue (in addition to the recently
found metric teleparallel analogue), while some other of these solutions
describe scalarised black hole configurations that are not known in the
Riemannian or metric teleparallel scalar-tensor case. To aid the analysis we
also derive no-hair theorems for the theory. Since the symmetric teleparallel
scalar-tensor models also include gravity, we shortly discuss this case
and further prove a theorem which says that by imposing that the metric
functions are the reciprocal of each other (), the
gravity theory reduces to the symmetric teleparallel equivalent of general
relativity (plus a cosmological constant), and the metric takes the
(Anti)de-Sitter-Schwarzschild form.Comment: Matches published version in JCAP. 24 pages, 1 figur