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- W1538409861 abstract "There is growing interest in testing alternative gravity theories using the subtle gravitational redshifts in clusters of galaxies. However, current models all neglect a transverse Doppler redshift of similar magnitude, and some models are not self-consistent. An equilibrium model would fix the gravitational and transverse Doppler velocity shifts to be about $6{ensuremath{sigma}}^{2}/c$ and $3{ensuremath{sigma}}^{2}/2c$ in order to fit the observed velocity dispersion $ensuremath{sigma}$ self-consistently. This result comes from the virial theorem for a spherical isotropic cluster, and is insensitive to the theory of gravity. A gravitational redshift signal also does not directly distinguish between the Einsteinian and $f(R)$ gravity theories, because each theory requires a different dark halo mass function to keep the clusters in equilibrium. When this constraint is imposed, the gravitational redshift has no sensitivity to theory. Indeed, our $N$-body simulations show that the halo mass function differs in $f(R)$, and that the transverse Doppler effect is stronger than analytically predicted due to nonequilibrium." @default.
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- W1538409861 date "2013-08-26" @default.
- W1538409861 modified "2023-10-18" @default.
- W1538409861 title "Testing gravity theories via transverse Doppler and gravitational redshifts in galaxy clusters" @default.
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- W1538409861 doi "https://doi.org/10.1103/physrevd.88.043013" @default.
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