Ehlers symmetry at the next derivative order

Colonnello, Claudia; Kleinschmidt, Axel

doi:10.1088/1126-6708/2007/08/078

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Ehlers symmetry at the next derivative order

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Colonnello, Claudia
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Kleinschmidt, Axel
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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jhep082007078.pdf
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0706.2816v1.pdf
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Citation

Colonnello, C., & Kleinschmidt, A. (2007). Ehlers symmetry at the next derivative order. Journal of High Energy Physics, 2007(8): 078. doi:10.1088/1126-6708/2007/08/078.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-47FB-5

Abstract

We analyse four-dimensional gravity in the presence of general curvature squared corrections and show that Ehlers' SL(2,R) symmetry, which appears in the reduction of standard gravity to three dimensions, is preserved by the correction terms. The mechanism allowing this is a correction of the SL(2,R) transformation laws which resolves problems with the different scaling behaviour of various terms occurring in the reduction.