We consider gravity in 2 + 1 dimensions in presence of extended stationary sources with rotational symmetry. We prove by direct use of Einstein's equations that if (i) the energy momentum tensor satisfies the weak energycondition, (ii) the universe is open (conical at space infinity), (iii) there are no CTCs at space infinity, then there are no CTCs at all.
Closed timelike curves and the energy condition in (2+1)-dimensional gravity / P. MENOTTI; D. SEMINARA. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - STAMPA. - 301:(1993), pp. 25-28. [10.1016/0370-2693(93)90715-T]
Closed timelike curves and the energy condition in (2+1)-dimensional gravity
SEMINARA, DOMENICO
1993
Abstract
We consider gravity in 2 + 1 dimensions in presence of extended stationary sources with rotational symmetry. We prove by direct use of Einstein's equations that if (i) the energy momentum tensor satisfies the weak energycondition, (ii) the universe is open (conical at space infinity), (iii) there are no CTCs at space infinity, then there are no CTCs at all.
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