Disformal transformations and the motion of a particle in semi-classical gravity
Abstract The approach to incorporate quantum effects in gravity by replacing free particle geodesics with Bohmian non-geodesic trajectories has an equivalent description in terms of a conformally related geometry, where the motion is force free, with the quantum effects inside the conformal factor,...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09751-z |
| _version_ | 1818825736529641472 |
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| author | Sandip Chowdhury Kunal Pal Kuntal Pal Tapobrata Sarkar |
| author_facet | Sandip Chowdhury Kunal Pal Kuntal Pal Tapobrata Sarkar |
| author_sort | Sandip Chowdhury |
| collection | DOAJ |
| description | Abstract The approach to incorporate quantum effects in gravity by replacing free particle geodesics with Bohmian non-geodesic trajectories has an equivalent description in terms of a conformally related geometry, where the motion is force free, with the quantum effects inside the conformal factor, i.e., in the geometry itself. For more general disformal transformations relating gravitational and physical geometries, we show how to establish this equivalence by taking the quantum effects inside the disformal degrees of freedom. We also show how one can solve the usual problems associated with the conformal version, namely the wrong continuity equation, indefiniteness of the quantum mass, and wrong description of massless particles in the singularity resolution argument, by using appropriate disformal transformations. |
| first_indexed | 2024-12-19T00:16:30Z |
| format | Article |
| id | doaj.art-c04a976ad5334b10bb68937fc446aa9f |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-19T00:16:30Z |
| publishDate | 2021-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-c04a976ad5334b10bb68937fc446aa9f2022-12-21T20:45:47ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-10-01811011510.1140/epjc/s10052-021-09751-zDisformal transformations and the motion of a particle in semi-classical gravitySandip Chowdhury0Kunal Pal1Kuntal Pal2Tapobrata Sarkar3Department of Physics, Indian Institute of TechnologyDepartment of Physics, Indian Institute of TechnologyDepartment of Physics, Indian Institute of TechnologyDepartment of Physics, Indian Institute of TechnologyAbstract The approach to incorporate quantum effects in gravity by replacing free particle geodesics with Bohmian non-geodesic trajectories has an equivalent description in terms of a conformally related geometry, where the motion is force free, with the quantum effects inside the conformal factor, i.e., in the geometry itself. For more general disformal transformations relating gravitational and physical geometries, we show how to establish this equivalence by taking the quantum effects inside the disformal degrees of freedom. We also show how one can solve the usual problems associated with the conformal version, namely the wrong continuity equation, indefiniteness of the quantum mass, and wrong description of massless particles in the singularity resolution argument, by using appropriate disformal transformations.https://doi.org/10.1140/epjc/s10052-021-09751-z |
| spellingShingle | Sandip Chowdhury Kunal Pal Kuntal Pal Tapobrata Sarkar Disformal transformations and the motion of a particle in semi-classical gravity European Physical Journal C: Particles and Fields |
| title | Disformal transformations and the motion of a particle in semi-classical gravity |
| title_full | Disformal transformations and the motion of a particle in semi-classical gravity |
| title_fullStr | Disformal transformations and the motion of a particle in semi-classical gravity |
| title_full_unstemmed | Disformal transformations and the motion of a particle in semi-classical gravity |
| title_short | Disformal transformations and the motion of a particle in semi-classical gravity |
| title_sort | disformal transformations and the motion of a particle in semi classical gravity |
| url | https://doi.org/10.1140/epjc/s10052-021-09751-z |
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