Angle of Null Energy Condition Lines in Critical Spacetimes
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916479980535808 |
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| author | Ecker, Christian Ecker, Florian Grumiller, Daniel |
| author_facet | Ecker, Christian Ecker, Florian Grumiller, Daniel |
| contents | We identify a new critical parameter in Choptuik's gravitational collapse: the angle at which null energy condition (NEC) saturation lines intersect at the center of the critical spacetime. These NEC lines coincide with regions of vanishing curvature, dividing spacetime into stripes of positive and negative curvature. By numerically solving Choptuik's original system we find the NEC angle to be $α\approx0.64$ ($\approx37^\circ$) and analytically derive $α=2$arccot$(D-1)$ for any spacetime dimension $D>3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09233 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Angle of Null Energy Condition Lines in Critical Spacetimes Ecker, Christian Ecker, Florian Grumiller, Daniel General Relativity and Quantum Cosmology High Energy Physics - Theory We identify a new critical parameter in Choptuik's gravitational collapse: the angle at which null energy condition (NEC) saturation lines intersect at the center of the critical spacetime. These NEC lines coincide with regions of vanishing curvature, dividing spacetime into stripes of positive and negative curvature. By numerically solving Choptuik's original system we find the NEC angle to be $α\approx0.64$ ($\approx37^\circ$) and analytically derive $α=2$arccot$(D-1)$ for any spacetime dimension $D>3$. |
| title | Angle of Null Energy Condition Lines in Critical Spacetimes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.09233 |