Proofs of singularity-free solutions and scalarization in nonlinear Einstein-scalar-Gauss-Bonnet cosmology
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912493526319104 |
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| author | He, Chihang Liu, Chao Wang, Jinhua |
| author_facet | He, Chihang Liu, Chao Wang, Jinhua |
| contents | We establish the global existence and precise estimates of a class of singularity-free cosmological solutions in nonlinear Einstein-scalar-Gauss-Bonnet (ESGB) gravity with quadratic coupling, in close agreement with previous numerical results. Our analysis also yields a rigorous mathematical proof of nonlinear spontaneous scalarization, triggered by a tachyonic instability induced by the Gauss-Bonnet term. The proof is based on a set of decoupled differential inequalities for the Hubble parameter $H$, derived from a key structural identity that we refer to as the power identity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15304 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proofs of singularity-free solutions and scalarization in nonlinear Einstein-scalar-Gauss-Bonnet cosmology He, Chihang Liu, Chao Wang, Jinhua Analysis of PDEs General Relativity and Quantum Cosmology We establish the global existence and precise estimates of a class of singularity-free cosmological solutions in nonlinear Einstein-scalar-Gauss-Bonnet (ESGB) gravity with quadratic coupling, in close agreement with previous numerical results. Our analysis also yields a rigorous mathematical proof of nonlinear spontaneous scalarization, triggered by a tachyonic instability induced by the Gauss-Bonnet term. The proof is based on a set of decoupled differential inequalities for the Hubble parameter $H$, derived from a key structural identity that we refer to as the power identity. |
| title | Proofs of singularity-free solutions and scalarization in nonlinear Einstein-scalar-Gauss-Bonnet cosmology |
| topic | Analysis of PDEs General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.15304 |