Conformally covariant parametrizations for initial data in some modified Einstein gravity theories

Erwann Delay (1)

1 LMA - EA2151 Laboratoire de Mathématiques d'Avignon

We propose further conformal parametrizations for initial data in some modified Einstein gravity theories. Some of them give rise to conformally covariant systems.

Keywords: Lovelock gravity; Einstein-Gauss-Bonnet gravity; non-linear elliptic systems; Conformal Riemannian geometry; f (R) gravity; higher order gravity; Cauchy problem; constraint equations

Domains: Mathematics [math]; Differential Geometry [math.DG]; Physics [physics]; General Relativity and Quantum Cosmology [gr-qc]

Erwann Delay. Conformally covariant parametrizations for initial data in some modified Einstein gravity theories. 2016. ⟨hal-01401084⟩