Mokhtar Hassaine, The role of symmetry for finding black holes in scalar tensor theories

ITMP seminar, May 31, 2023
Speaker: Prof. Mokhtar Hassaine, University of Talca
Title: The role of symmetry for finding black holes in scalar tensor theories
Abstract: In dimension 4, we will consider Horndeski's theory which is the most general (single) scalar-tensor theory with second order equations of motion. We will see how certain symmetries for these theories can be useful in determining explicit black hole-like solutions for these theories. In particular we will see how the conformal invariance of the matter action or only the conformal invariance of the equation of the scalar field can turn out to be of great use to go beyond the no-go theorems and to construct explicit black hole type solutions. We will also present the most general action in four dimensions that gives rise to a second-order conformal scalar field equation.