61 citations · 260 across the 22 of their papers we have counts for
22 papers
Symmetry analysis of radiative spacetimes with a null isotropy using GHP formalism
S. Brian Edgar, Michael Bradley, M. Piedade Machado Ramos
A complete and simple invariant classification of the conformally flat pure radiation metrics with a negative cosmological constant that were obtained by integration using the gene…
Petrov D vacuum spaces revisited: Identities and Invariant Classification
S. Brian Edgar, Alfonso García-Parrado Gómez-Lobo, José M. Martín-García
For Petrov D vacuum spaces, two simple identities are rederived and some new identities are obtained, in a manageable form, by a systematic and transparent analysis using the GHP f…
Invariant classification and the generalised invariant formalism: conformally flat pure radiation metrics, with zero cosmological constant
Michael Bradley, S. Brian Edgar, M. P. Machado Ramos
Metrics obtained by integrating within the generalised invariant formalism are structured around their intrinsic coordinates, and this considerably simplifies their invariant class…
Type O pure radiation metrics with a cosmological constant
S. Brian Edgar, M. P. Machado Ramos
In this paper we complete the integration of the conformally flat pure radiation spacetimes with a non-zero cosmological constant , and , by considering the case $Λ+τ\ba…
A weighted de Rham operator acting on arbitrary tensor fields and their local potentials
S. Brian Edgar, José M. M. Senovilla
We introduce a weighted de Rham operator which acts on arbitrary tensor fields by considering their structure as r-fold forms. We can thereby define associated superpotentials for…
A local potential for the Weyl tensor in all dimensions
S. Brian Edgar, José M. M. Senovilla
In all dimensions and arbitrary signature, we demonstrate the existence of a new local potential -- a double (2,3)-form -- for the Weyl curvature tensor, and more generally for all…