Causal symmetries

Details Causal symmetries Causal symmetries

2003-03-05

arxiv.org/abs/gr-qc/0303020v1

Class.Quant.Grav. 20 (2003) L139

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX2e file with CQG templates. 8 pages and no figures. Submitted to Classical and Quantum gravity

Scientific paper

Based on the recent work \cite{PII} we put forward a new type of transformation for Lorentzian manifolds characterized by mapping every causal future-directed vector onto a causal future-directed vector. The set of all such transformations, which we call causal symmetries, has the structure of a submonoid which contains as its maximal subgroup the set of conformal transformations. We find the necessary and sufficient conditions for a vector field $\xiv$ to be the infinitesimal generator of a one-parameter submonoid of pure causal symmetries. We speculate about possible applications to gravitation theory by means of some relevant examples.

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