Production of Primordial Gravitational Waves in Teleparallel Gravity

Abstract

We study the production of primordial gravitational waves in the context of extended teleparallel gravity models and compare them with those of general relativity. Teleparallel gravity has been widely studied in the context of the late universe but not much in the early universe. Two sources of primordial gravitational waves are considered, vacuum fluctuations and tensor anisotropies within two inflation-compatible backgrounds: a perfect de Sitter and a quasi de Sitter background. We find that in the vacuum case with a perfect de Sitter background, the gravitational waves propagation equation is the same as that of general relativity, however, if the background is promoted to a quasi de Sitter background, the propagation equations are different resulting in an important difference on the tensor spectral index. When tensor anisotropies are included, we compute the most general solution for gravitational waves in terms of a retarded Green's function and analyze the contributions to the power spectrum from these anisotropies. Finally, we investigate the energy density of these gravitational waves.

21 pages. Version accepted in Physics of the Dark Universe

References in corpus (23)

• Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond
• Aspects of the cosmological "coincidence problem"
• Gravitational waves from stochastic relativistic sources: primordial turbulence and magnetic fields
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Thermal History of the Early Universe and Primordial Gravitational Waves from Induced Scalar Perturbations
• No constraints for $f(T)$ gravity from gravitational waves induced from primordial black hole fluctuations
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Higgs inflation and teleparallel gravity
• Gravitational wave background from non-Abelian reheating after axion-like inflation
• Gravitational wave background from vacuum and thermal fluctuations during axion-like inflation
• Observational Constraints on $f(T)$ Gravity from Model-Independent Data
• Dynamical complexity of the Teleparallel gravity cosmology
• General cosmological perturbations in teleparallel gravity
• Coincidence Problem in $f(R)$ Gravity Models
• Primordial black holes and gravitational waves in teleparallel Gravity
• Scalar induced gravitational waves in modified teleparallel gravity theories
• Gravitational waves from cosmological phase transitions
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Inflation with F(T) Teleparallel Gravity
• Towards a possible solution for the coincidence problem: f(G) gravity as background
• Inhomogeneous solutions in $f(T,B)$ gravity
• Towards a realistic solution of the cosmological constant fine-tuning problem by Higgs inflation