4 papers · 1 filter
Non-variational scalar field cosmology: Exact Bianchi I solutions for near-minimal scalar fields
Joshua Ritchie
The purpose of this work is to investigate spatially homogeneous and flat cosmological solutions of the Einstein equations coupled to a non-variational ``near-minimal'' scalar fiel…
A general formalism for coupling scalar fields to the Einstein equations without a variational principle
Joshua Ritchie
The purpose of this work is to discuss how matter fields are coupled to gravity within the framework of General Relativity. Our particular focus here is on the coupling of scalar f…
Asymptotically flat vacuum initial data sets from a modified parabolic-hyperbolic formulation of the Einstein vacuum constraint equations
Florian Beyer, Jörg Frauendiener, Joshua Ritchie
In this paper we continue earlier investigations of evolutionary formulations of the Einstein vacuum constraint equations originally introduced by Rácz. Motivated by the strong evi…
Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations
Florian Beyer, Leon Escobar, Jörg Frauendiener +1
In this paper we investigate the parabolic-hyperbolic formulation of the vacuum constraint equations introduced by R{á}cz with a view to constructing multiple black hole initial da…