Universally coupled massive gravity |
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Authors: | J B Pitts W C Schieve |
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Institution: | (1) Department of Physics, University of Texas at Austin, Austin, Texas, USA;(2) Department of Mathematics, St. Edward’s University, Austin, Texas;(3) History and Philosophy of Science Graduate Program, University of Notre Dame, Notre Dame, Indiana, USA |
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Abstract: | We derive Einstein’s equations from a linear theory in flat space-time using free-field gauge invariance and universal coupling.
The gravitational potential can be either covariant or contravariant and of almost any density weight. We adapt these results
to yield universally coupled massive variants of Einstein’s equations, yielding two one-parameter families of distinct theories
with spin 2 and spin 0. The Freund-Maheshwari-Schonberg theory is therefore not the unique universally coupled massive generalization
of Einstein’s theory, although it is privileged in some respects. The theories we derive are a subset of those found by Ogievetsky
and Polubarinov by other means. The question of positive energy, which continues to be discussed, might be addressed numerically
in spherical symmetry. We briefly comment on the issue of causality with two observable metrics and the need for gauge freedom
and address some criticisms by Padmanabhan of field derivations of Einstein-like equations along the way.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 2, pp. 311–336, May, 2007. |
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Keywords: | massive gravity bimetric ghost positive mass causality |
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