Conformal Symmetry and Non-Singular Scalar field Collapse
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arXiv
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| Format: | Preprint |
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2026
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| author | A, Mohamed Aarif Chakrabarti, Soumya |
| author_facet | A, Mohamed Aarif Chakrabarti, Soumya |
| contents | We investigate the gravitational collapse of a massive scalar field in a conformally flat, spherically symmetric spacetime within general relativity. The collapsing matter distribution is modeled using a minimally coupled homogeneous scalar field together with both perfect fluid and dissipative matter sectors. Imposing conformal flatness through the vanishing of the Weyl tensor considerably constrains the geometry and enables the construction of exact analytical solutions. In the non-dissipative case, the field equations admit a separable conformal factor leading to a continuously collapsing configuration smoothly matched to an exterior Schwarzschild spacetime. The collapse proceeds asymptotically and does not develop a shell-focusing singularity within finite proper time. We further examine the possibility of self-similar evolution associated with homothetic symmetry. It is shown that self-similar solutions are incompatible with a perfect-fluid configuration alone, but become consistent when dissipative effects in the form of a radial heat flux are included. The resulting self-similar collapse must be matched to an exterior Vaidya spacetime and exhibits a monotonically decreasing Misner-Sharp mass due to outward energy transport. For both classes of solutions, the proper radius remains finite throughout the evolution, preventing the formation of shell-focusing singularities within the considered domain. The scalar field sector satisfies the null energy condition for the potentials studied, while the effective fluid sector exhibits violations of the null and strong energy conditions, indicating the emergence of effective exotic matter behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28246 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conformal Symmetry and Non-Singular Scalar field Collapse A, Mohamed Aarif Chakrabarti, Soumya General Relativity and Quantum Cosmology Mathematical Physics We investigate the gravitational collapse of a massive scalar field in a conformally flat, spherically symmetric spacetime within general relativity. The collapsing matter distribution is modeled using a minimally coupled homogeneous scalar field together with both perfect fluid and dissipative matter sectors. Imposing conformal flatness through the vanishing of the Weyl tensor considerably constrains the geometry and enables the construction of exact analytical solutions. In the non-dissipative case, the field equations admit a separable conformal factor leading to a continuously collapsing configuration smoothly matched to an exterior Schwarzschild spacetime. The collapse proceeds asymptotically and does not develop a shell-focusing singularity within finite proper time. We further examine the possibility of self-similar evolution associated with homothetic symmetry. It is shown that self-similar solutions are incompatible with a perfect-fluid configuration alone, but become consistent when dissipative effects in the form of a radial heat flux are included. The resulting self-similar collapse must be matched to an exterior Vaidya spacetime and exhibits a monotonically decreasing Misner-Sharp mass due to outward energy transport. For both classes of solutions, the proper radius remains finite throughout the evolution, preventing the formation of shell-focusing singularities within the considered domain. The scalar field sector satisfies the null energy condition for the potentials studied, while the effective fluid sector exhibits violations of the null and strong energy conditions, indicating the emergence of effective exotic matter behavior. |
| title | Conformal Symmetry and Non-Singular Scalar field Collapse |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2605.28246 |