Purely Magnetic Spacetimes

Details Purely Magnetic Spacetimes Purely Magnetic Spacetimes

1995-02-24

arxiv.org/abs/gr-qc/9502041v1

J.Math.Phys. 36 (1995) 5848-5854

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, standard latex. Submitted to Classical and Quantum Gravity.

Scientific paper

10.1063/1.531291

Purely magnetic spacetimes, in which the Riemann tensor satisfies
$R_{abcd}u^bu^d=0$ for some unit timelike vector $u^a$, are studied. The
algebraic consequences for the Weyl and Ricci tensors are examined in detail
and consideration given to the uniqueness of $u^a$. Some remarks concerning the
nature of the congruence associated with $u^a$ are made.

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