On gravitational waves in Born-Infeld inspired non-singular cosmologies

Abstract

We study the evolution of gravitational waves for non-singular cosmological solutions within the framework of Born-Infeld inspired gravity theories, with special emphasis on the Eddington-inspired Born-Infeld theory. We review the existence of two types of non-singular cosmologies, namely bouncing and asymptotically Minkowski solutions, from a perspective that makes their features more apparent. We study in detail the propagation of gravitational waves near these non-singular solutions and carefully discuss the origin and severity of the instabilities and strong coupling problems that appear. We also investigate the role of the adiabatic sound speed of the matter sector in the regularisation of the gravitational waves evolution. We extend our analysis to more general Born-Infeld inspired theories where analogous solutions are found. As a general conclusion, we obtain that the bouncing solutions are generally more prone to instabilities, while the asymptotically Minkowski solutions can be rendered stable, making them appealing models for the early universe.

13 pages, 4 figures, an error in the section of elementary symmetric polynomials is now corrected

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• Constraints on Born-Infeld gravity from the speed of gravitational waves after GW170817 and GRB 170817A
• Ricci-Based Gravity theories and their impact on Maxwell and nonlinear electromagnetic models
• New scalar compact objects in Ricci-based gravity theories
• Overcharging black holes and cosmic censorship in Eddington-inspired Born-Infeld gravity
• Bouncing cosmologies via modified gravity in the ADM formalism: Application to Loop Quantum Cosmology
• Anisotropic deformations in a class of projectively-invariant metric-affine theories of gravity
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• Propagation and lensing of gravitational waves in Palatini $f(\hat{R})$ gravity
• Non-metricity signatures on the Higgs boson signal strengths at the LHC
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• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas