Singularity resolution and inflation from an infinite tower of regularized curvature corrections

2025/04/10 by Fernandes, Pedro G. S. · 26 citations
#Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2504.07692

Abstract

We explore four-dimensional scalar-tensor theories obtained from well-defined dimensional regularizations of Lovelock invariants. When an infinite tower of corrections is considered, these theories allow for cosmological models in which the Big Bang singularity is replaced by an inflationary phase in the early-universe, and they also admit a specific class of regular black hole solutions.

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Cited by

• Spectral bifurcations in quasinormal modes of regular BTZ black holes
• Buchdahl limits in theories with regular black holes
• Inflation, black holes with primary hair, and regular planar black holes from an infinite tower of regularized Lovelock-Proca corrections
• Birkhoff implies Quasi-topological
• Regular black hole formation in four-dimensional non-polynomial gravities
• non-Singular Spacetime Cores via Gravitational Evanescence of Collapsing Matter
• Big bounce and black bounce in quasi-topological gravity
• Regular AdS₃ black holes from regularized Gauss-Bonnet coupling
• AdS₃ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling
• Regular black holes without mass-inflation instability and gravastars from modified gravity
• Regular Vaidya solutions of effective gravitational theories
• Topological regular black holes without Cauchy horizon
• Thermodynamics of Regular Black Holes in Anti-de Sitter Space
• Holographic explorations of regular black holes in pure gravity
• Regular black holes from Oppenheimer-Snyder collapse
• Regular BTZ black holes from an infinite tower of corrections

Related

• Inflation, black holes with primary hair, and regular planar black holes from an infinite tower of regularized Lovelock-Proca corrections
• Regular BTZ black holes from an infinite tower of corrections
• Thermodynamics of four-dimensional regular black holes with an infinite tower of regularized curvature corrections
• Strong coupling and instabilities in singularity-free inflation from an infinite sum of curvature corrections
• Inflationary resolution of the initial singularity