Abstract
Massive gravity which has been constructed from a cohomological formulation of gauge invariance by means of the descent equations is here investigated in the classical limit. Gauge invariance requires a vector-graviton field v coupled to the massive tensor field h μν . In the limit of vanishing graviton mass the v-field does not decouple. On the classical level this leads to a modification of general relativity. The contribution of the v-field to the energy-momentum tensor can be interpreted as dark matter density and pressure. We solve the modified field equations in the simplest spherically symmetric geometry.
Similar content being viewed by others
References
t’Hooft G.: Unitarity in the Brout-Englert-Higgs Mechanism for Gravity. hep-th/0708.3184 v4
Scharf G.: Quantum Gauge Theories—a True Ghost Story. Wiley-Interscience, New York (2001)
Grigore D.R., Scharf G.: Gen. Relativ. Gravit. 37(6), 1075 (2005) hep-th/0404157
Grigore D.R., Scharf G.: Class. Quant. Gravit. 25, 225008 (2008) hep-th/0711.0869
Berchtold J.B., Scharf G.: Gen. Relativ. Gravit. 39(9), 1489 (2007) hep-th/0702181
Adler R., Bazin M., Schiffer M.: Introduction to General Relativity. McGraw-Hill, New York (1965)
Navarro J.F., Frenk C.S., White S.D.M.: Astrophys. J. 462, 563 (1996)
Corbelli E.: Mon. Not. Roy. Astron. Soc. 342, 199 (2003) astro-ph/0302318
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Scharf, G. From massive gravity to modified general relativity. Gen Relativ Gravit 42, 471–487 (2010). https://doi.org/10.1007/s10714-009-0864-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-009-0864-0