Birkhoff's theorem for ghost-free,tachyon-freeR + R
2
+Q
2
theories with torsion |
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Authors: | Rick Rauch Jiin Chang Shaw H -T Nieh |
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Institution: | (1) Institute for Theoretical physics, State University of New York at Stony Brook, 11794 Stony Brook, New York;(2) Present address: Department of Applied Mathematics, Chio Tung University, Hsichu, Taiwan Republic Of China |
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Abstract: | We investigate the conditions under which the class of ghost-free, tachyon-freeR + R
2 +Q
2 theories with torsion satisfy Birkhoff's theorem. We prove a weakened Birkhoff theorem requiring an additional assumption of parity invariance for two Lagrangians one of which contains torsion squared terms in addition to curvature squared terms. For another Lagrangian, also containing torsion squared terms, a weakened Birkhoff theorem requiring the additional assumptions of parity invariance and constant scalar curvature is proven. A special case of this Lagrangian is shown to satisfy a weakened Birkhoff theorem requiring only the additional assumption of constant scalar curvature. In addition the explicit dependence of torsion on parity noninvariant quantities is displayed. |
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Keywords: | |
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