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Published February 10, 2015 | Submitted
Journal Article Open

Problems of Massive Gravities

Abstract

The method of characteristics is a key tool for studying consistency of equations of motion; it allows issues such as predictability, maximal propagation speed, superluminality, unitarity and acausality to be addressed without requiring explicit solutions. We review this method and its application to massive gravity (mGR) theories to show the limitations of these models' physical viability: Among their problems are loss of unique evolution, superluminal signals, matter coupling inconsistencies and micro-acausality (propagation of signals around local closed time-like curves (CTCs)/closed causal curves (CCCs)). We extend previous no-go results to the entire three-parameter range of mGR theories. It is also argued that bimetric models suffer a similar fate.

Additional Information

© 2015 World Scientific Publishing Company. Received 8 October 2014; Accepted 10 November 2014; Published 20 January 2015. K.I. is supported by Taiwan National Science Council under Project No. NSC101-2811-M-002-103. A.W. thanks the Indian Institute of Science Bangalore, and the Harish-Chandra Institute, Allahabad for hospitality. S.D. was supported in part by NSF and DOE grants PHY-1266107 and #DE-SC0011632, respectively.

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