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Published on: August 12, 2013
Mirage of Luminal Modified Gravitational-Wave Propagation
Antonio Enea Romano1,2,3, Mairi Sakellariadou4
1Theoretical Physics Department, CERN, CH-1211 Geneva 23, Switzerland.
Abstract:
Using conformal invariance of gravitational waves, we show that for a luminal modified gravity theory, the gravitational-wave propagation and luminosity distance are the same as in general relativity. The relation between the gravitational-wave and electromagnetic-wave luminosity distance gets modified, however, for electromagnetism minimally coupled to the Jordan frame metric. Using effective field theory we show that the modified relation obtained for luminal theories is also valid for nonluminal theories with Jordan frame matter-gravity coupling. We generalize our analysis to a time-dependent speed of gravitational waves with matter minimally coupled to either the Jordan or Einstein frame metrics.
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