Two-loop and all-loop finite 4-metrics

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چکیده

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Two loop and all loop finite 4-metrics

In pure Einstein theory, Ricci flat Lorentzian 4-metrics of Petrov types III or N have vanishing counter terms up to and including two loops. Moreover for pp-waves and type-N spacetimes of Kundt’s class which admit a non-twisting, non expanding, null congruence all possible invariants formed from the Weyl tensor and its covariant derivatives vanish. Thus these Lorentzian metrics suffer no quant...

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ar X iv : h ep - t h / 99 05 15 4 v 1 2 1 M ay 1 99 9 Two loop and all loop finite 4 - metrics

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ژورنال

عنوان ژورنال: Classical and Quantum Gravity

سال: 1999

ISSN: 0264-9381,1361-6382

DOI: 10.1088/0264-9381/16/10/103