Causality of massive spin-2 field in external gravity

DOI10.1016/S0370-2693(00)01082-0zbMATH Open1031.81571arXivhep-th/0006144OpenAlexW3102546926WikidataQ127372979 ScholiaQ127372979MaRDI QIDQ5930475

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Publication date: 18 April 2001

Published in: (Search for Journal in Brave)

Abstract: We investigate the structure of equations of motion and lagrangian constraints in a general theory of massive spin 2 field interacting with external gravity. We demonstrate how consistency with the flat limit can be achieved in a number of specific spacetimes. One such example is an arbitrary static spacetime though equations of motion in this case may lack causal properties. Another example is provided by external gravity fulfilling vacuum Einstein equations with arbitrary cosmological constant. In the latter case there exists one-parameter family of theories describing causal propagation of the correct number of degrees of freedom for the massive spin 2 field in arbitrary dimension. For a specific value of the parameter a gauge invariance with a vector parameter appears, this value is interpreted as massless limit of the theory. Another specific value of the parameter produces gauge invariance with a scalar parameter and this cannot be interpreted as a consistent massive or massless theory.

Full work available at URL: https://arxiv.org/abs/hep-th/0006144

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