Transformation equation for frames undergoing non-uniform acceleration such as SHM and rotational motion
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914271247466496 |
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| author | Brahma, Ranchhaigiri Sen, A. K. |
| author_facet | Brahma, Ranchhaigiri Sen, A. K. |
| contents | Lorentz transformation equations provide us a set of relations between the spacetime coordinates as observed from two different inertial frames. In case, one of the frames is moving with a uniform rectilinear acceleration we have Rindler's transformation equations under such a situation. In the present work, we extend the Rindler's equations to a situation where we have in general non-uniform acceleration. After that we consider the non-inertial frame to undergo simple harmonic motion (SHM) and as a second case we consider the non-inertial frame to move uniformly along a circle. This set of transformation equations will have applications in various branches of Physics and in general in Astrophysics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01677 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transformation equation for frames undergoing non-uniform acceleration such as SHM and rotational motion Brahma, Ranchhaigiri Sen, A. K. General Relativity and Quantum Cosmology Lorentz transformation equations provide us a set of relations between the spacetime coordinates as observed from two different inertial frames. In case, one of the frames is moving with a uniform rectilinear acceleration we have Rindler's transformation equations under such a situation. In the present work, we extend the Rindler's equations to a situation where we have in general non-uniform acceleration. After that we consider the non-inertial frame to undergo simple harmonic motion (SHM) and as a second case we consider the non-inertial frame to move uniformly along a circle. This set of transformation equations will have applications in various branches of Physics and in general in Astrophysics. |
| title | Transformation equation for frames undergoing non-uniform acceleration such as SHM and rotational motion |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2409.01677 |