General Relativity and Quantum Cosmology
[Submitted on 6 Feb 2017
]
Title: S and T Self-dualities in Dilatonic f(R) Theories
Title: 具有比例因子的 f(R) 理论中的 S 和 T 自对偶性
Abstract: We search for theories, in general spacetime dimensions, that would incorporate a dilaton and higher powers of the scalar Ricci curvature such that they have exact S and/or T self-dualities. The theories we find are free of Ostrogradsky instabilities. We also show that within the framework we are confining ourselves a theory of the form mentioned above can not have both T and S dualities except for the case where the action is linear in the scalar curvature.
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