CMB anisotropies induced by tensor modes in Massive Gravity

Details CMB anisotropies induced by tensor modes in Massive Gravity CMB anisotropies induced by tensor modes in Massive Gravity

2009-08-10

arxiv.org/abs/0908.1360v2

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

Minor typos corrected and title changed to match the version published by JCAP

Scientific paper

We study Gravitational Waves (GWs) in the context of Massive Gravity, an extension to General Relativity (GR) where the fluctuations of the metric have a nonzero mass, and specifically investigate the effect of the tensor modes on the Cosmic Microwave Background (CMB) anisotropies. We first study the time evolution of the tensor modes in Massive Gravity and show that there is a graviton mass limit $m_l=10^{-66}g\sim 10^{-29}cm^{-1}$, so that for masses $m\leq m_l$ the tensor perturbations in Massive Gravity are indistinguishable from the corresponding ones in GR. Also, we show that short wavelength massive modes behave almost indistinguishably from their massless counterparts. Later on, we show that massive gravitons with masses within the range $m= 10^{-27}cm^{-1}$ - $m=10^{-26}cm^{-1}$ would leave a clear signature on the lower multipoles ($\ell< 30$) in the CMB anisotropy power spectrum. Hence, our results show that CMB anisotropies measurements might be decisive to show whether the tensor modes are massive or not.

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