Integration of the GHP equations in spacetimes admitting a geodesic shear-free expanding null congruence

Details Integration of the GHP equations in spacetimes admitting a geodesic shear-free expanding null congruence Integration of the GHP equations in spacetimes admitting a geodesic shear-free expanding null congruence

2000-01-28

arxiv.org/abs/gr-qc/0001092v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTeX

Scientific paper

We perform a complete rho-integration of the GHP equations for all spacetimes
that admit a geodesic shear-free expanding null congruence, whose Ricci spinor
is aligned to the congruence and whose Ricci scalar is constant. We also deduce
the system of GHP equations after the integration is completed, and discuss a
few applications.

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