Solitons in Einstein-Maxwell-scalar models
Presenting author: Joćo Oliveira
Two non-existence results are established for self-gravitating solitons in Einstein-Maxwell-scalar models, where a scalar field is non-minimally coupled to the Maxwell field via an arbitrary function f(\Phi). The first result consists in establishing that for strictly stationary, but not necessarily static, spacetimes, using a Lichnerowicz-type argument, self-gravitating solitons do not exist. The second result consists in the generalisation of the first result to Einstein-Maxwell-Axion models, through a new coupling function g(\Phi). After these two results are established, we then discuss how we can circumvent the first result to obtain self-gravitating solitonic solutions in the Einstein-Maxwell-scalar model. These solutions are possible even in flat spacetime Maxwell-scalar models where an explicit mechanism is found to de-singularise the Coulomb field.
Oral presentation: yes. Poster: no.