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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2504.16396 |
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| _version_ | 1866916702934007808 |
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| author | Mallary, C. |
| author_facet | Mallary, C. |
| contents | In general relativity, the tangential speed of objects in stable circular orbits is not uniquely described by the orbital radius and the mass present inside the orbital radius. This work presents a static, spherically symmetric spacetime metric which produces stable circular orbits whose speed approaches a constant value at high radii. The orbital speed is independent of the mass contained within the orbital radius, however, there is pressure throughout the spacetime. The stress energy tensor of this metric is evaluated numerically using the mass of the Milky Way's central black hole, the orbital speed of its distant satellites, and three different values of a unitless 'mass tuning' parameter B. These B 'tune' the amount of mass present, without violating the Weak Energy Condition (WEC) at any evaluated spacetime point. The metric can be merged with a Friedmann-Robertson-Walker metric, in which case it achieves isotropy and obeys the Friedmann equations at cosmological distances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16396 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 'Dark pressure': A metric that yields distance-independent circular orbital speed in deep space with 'tunable' total mass Mallary, C. General Relativity and Quantum Cosmology In general relativity, the tangential speed of objects in stable circular orbits is not uniquely described by the orbital radius and the mass present inside the orbital radius. This work presents a static, spherically symmetric spacetime metric which produces stable circular orbits whose speed approaches a constant value at high radii. The orbital speed is independent of the mass contained within the orbital radius, however, there is pressure throughout the spacetime. The stress energy tensor of this metric is evaluated numerically using the mass of the Milky Way's central black hole, the orbital speed of its distant satellites, and three different values of a unitless 'mass tuning' parameter B. These B 'tune' the amount of mass present, without violating the Weak Energy Condition (WEC) at any evaluated spacetime point. The metric can be merged with a Friedmann-Robertson-Walker metric, in which case it achieves isotropy and obeys the Friedmann equations at cosmological distances. |
| title | 'Dark pressure': A metric that yields distance-independent circular orbital speed in deep space with 'tunable' total mass |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.16396 |