Linearized Analysis of Rastall Gravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908355549724672 |
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| author | Tongkong, Yuwadee |
| author_facet | Tongkong, Yuwadee |
| contents | Rastall gravity is a generalization of the Einstein gravity in which the matter is not conserved in the presence of a non-constant spacetime curvature. In this report, we analyze Rastall gravity using the linearized formalism. The linearized metric for a localized matter without pressure and shear stress is obtained, and a spherically symmetric metric for a non-rotating mass is derived. A phenomenological consequence, known as the gravitoelectromagnetism, is subsequently discussed in detail, where it is shown that a free-falling observer will see the motion of a nearby free particle as being subject to a velocity-independent gravitoelectric force and a velocity-dependent gravitomagnetic force. An explicit calculation of the gravitoelectric and gravitomagnetic fields as seen by an observer moving in a circular orbit in a spherically symmetric gravitational field is presented, and it is shown that the resulting gravitomagnetic field is perpendicular to the observer's moving direction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05499 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linearized Analysis of Rastall Gravity Tongkong, Yuwadee General Relativity and Quantum Cosmology Rastall gravity is a generalization of the Einstein gravity in which the matter is not conserved in the presence of a non-constant spacetime curvature. In this report, we analyze Rastall gravity using the linearized formalism. The linearized metric for a localized matter without pressure and shear stress is obtained, and a spherically symmetric metric for a non-rotating mass is derived. A phenomenological consequence, known as the gravitoelectromagnetism, is subsequently discussed in detail, where it is shown that a free-falling observer will see the motion of a nearby free particle as being subject to a velocity-independent gravitoelectric force and a velocity-dependent gravitomagnetic force. An explicit calculation of the gravitoelectric and gravitomagnetic fields as seen by an observer moving in a circular orbit in a spherically symmetric gravitational field is presented, and it is shown that the resulting gravitomagnetic field is perpendicular to the observer's moving direction. |
| title | Linearized Analysis of Rastall Gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2505.05499 |