19 citations · 139 across the 24 of their papers we have counts for
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gr-qc2017
On Spaces with the Maximal Number of Conformal Killing Vectors
Carlos Batista
It is natural to expect and simple to prove that every conformally flat space possess the maximal number of conformal Killing vector fields (CKVs). On the other hand, it is interes…
hep-th2017★ 3 cited
A Class of Integrable Metrics and Gauge Fields
Gabriel Luz Almeida, Carlos Batista
Starting with the most general four-dimensional spacetime possessing two commuting Killing vectors and a nontrivial Killing tensor, we analytically integrate Einstein-Yang-Mills eq…
gr-qc2017★ 5 cited
Integrability of the Dirac Equation on Backgrounds that are the Direct Product of Bidimensional Spaces
Joás Venâncio, Carlos Batista
The field equation for a spin 1/2 massive charged particle propagating in spacetimes that are the direct product of 2-dimensional spaces is separated. Moreover, we use this result…