Damping of tensor mode in spatially closed cosmology

Abstract

We derive an integro-differential equation for propagation of cosmological gravitation waves in spatially closed cosmology whereas the traceless transverse tensor part of the anisotropic stress tensor is free streaming neutrinos (including antineutrinos), which have been traveling essentially without collision since temperature dropped below about $10^{10}K$. We studied the short wavelengths and long wavelengths of gravitational waves (GWs) that enter the horizon in closed spacetime. The solution shows that the anisotropic stress reduces the squared amplitude by 76% for wavelengths that enter the horizon during radiation-dominated phase and this reduction is less for the wavelength that enter the horizon at later times. At the end we compare the results to the

10 pages, 1 figure

References in corpus (6)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Damping of Tensor Modes in Cosmology
• Comment on "Damping of Tensor Modes in Cosmology"
• An analytic description of the damping of gravitational waves by free streaming neutrinos
• Gravitational Waves in a Spatially Closed deSitter Spacetime

Cited by in corpus (3)

• Neutrinos as a probe of curvature
• Gravitational Waves in a Closed Spacetime via Deviation Equation
• Gravitational Waves with Dark Energy