Alfonso García-Parrado and José M M Senovilla 2003 Class. Quantum Grav. 20 L139 doi:10.1088/0264-9381/20/9/103
Causal symmetries
FREE ARTICLEAlfonso García-Parrado and José M M Senovilla
Show affiliationsLETTER TO THE EDITOR
Based on a recent work (García-Parrado A and Senovilla J M M 2003 Class. Quantum Grav. 20 625) 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 
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.
- PACS
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04.20.Gz Spacetime topology, causal structure, spinor structure
- MSC
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83C75 Space-time singularities, cosmic censorship, etc.
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
- Subjects
- Dates
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Issue 9 (7 May 2003)
Received 11 March 2003
Published 7 April 2003
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Causal symmetries
Alfonso García-Parrado and José M M Senovilla 2003 Class. Quantum Grav. 20 L139
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Causal relationship: a new tool for the causal characterization of Lorentzian manifolds
Alfonso García-Parrado and José M M Senovilla 2003 Class. Quantum Grav. 20 625
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