CMB anisotropies induced by tensor modes in Massive Gravity

Abstract

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 $m_l=10^{-66}g\sim 10^{-29}c{m}^{-1}$, so that for masses $m\le m_l$ 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 $m=10^{-27}c{m}^{-1}$ - $m=10^{-26}c{m}^{-1}$ 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.

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

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• Dynamics of dark energy
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Cited by in corpus (8)

• Theoretical Aspects of Massive Gravity
• Primordial Perturbations in Einstein-Aether and BPSH Theories
• Primordial massive gravitational waves from Einstein-Chern-Simons-Weyl gravity
• Observational Constraints on Visser's Cosmological Model
• Extreme parameter sensitivity in quasidilaton massive gravity
• Theoretical Radio Signals from Radio-Band Gravitational Waves Converted from the Neutron Star Magnetic Field
• BB mode angular power spectrum of CMB from massive gravity
• Cosmic topology. Part IIIb. Eigenmodes and correlation matrices of spin-2 perturbations in orientable Euclidean manifolds