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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 2, Pages 311–336
DOI: https://doi.org/10.4213/tmf6047
(Mi tmf6047)
 

This article is cited in 23 scientific papers (total in 23 papers)

Universally coupled massive gravity

J. B. Pittsab, W. C. Schievea

a University of Texas in Austin
b University of Notre Dame
References:
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.
Keywords: massive gravity, bimetric, ghost, positive mass, causality.
Received: 11.04.2006
Revised: 25.06.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 2, Pages 700–717
DOI: https://doi.org/10.1007/s11232-007-0055-7
Bibliographic databases:
Language: Russian
Citation: J. B. Pitts, W. C. Schieve, “Universally coupled massive gravity”, TMF, 151:2 (2007), 311–336; Theoret. and Math. Phys., 151:2 (2007), 700–717
Citation in format AMSBIB
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\paper Universally coupled massive gravity
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\vol 151
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\pages 311--336
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\jour Theoret. and Math. Phys.
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\pages 700--717
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  • https://www.mathnet.ru/eng/tmf6047
  • https://doi.org/10.4213/tmf6047
  • https://www.mathnet.ru/eng/tmf/v151/i2/p311
  • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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