Stability ofR + T 2 theories of gravitation

Physics

Scientific paper

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Scientific paper

In a framework with metric and spin affine connection as independent field variables, we show that the total energy of a genericR + T 2theory of gravitation is positive definite for an asymptotically flat space-time. This suggests that a more thorough treatment of the perturbative quantization of quadratic theories of gravity (including curvature and torsion squared terms) does not yield violation of unitarity.

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