Wormhole formation in massive gravity: an analytic description
Abstract The present study analyses the wormhole solution both in the dRGT-f(R, T) massive gravity and Einstein massive gravity. In both the models, the anisotropic pressure solution in ultrastatic wormhole geometry gives rise to the shape function that involves massive gravity parameters $$ \gamma...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11681-x |
| _version_ | 1797773976574885888 |
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| author | Ayanendu Dutta Dhritimalya Roy Nihal Jalal Pullisseri Subenoy Chakraborty |
| author_facet | Ayanendu Dutta Dhritimalya Roy Nihal Jalal Pullisseri Subenoy Chakraborty |
| author_sort | Ayanendu Dutta |
| collection | DOAJ |
| description | Abstract The present study analyses the wormhole solution both in the dRGT-f(R, T) massive gravity and Einstein massive gravity. In both the models, the anisotropic pressure solution in ultrastatic wormhole geometry gives rise to the shape function that involves massive gravity parameters $$ \gamma $$ γ and $$ \Lambda $$ Λ . However, the terms consisting of $$ \gamma $$ γ and $$ \Lambda $$ Λ acts in such a way that the spacetime loses asymptotic flatness. Similar to the black hole solution in massive gravity, this inconsistency arises due to the repulsive effect of gravity which can be represented by the photon deflection angle that goes negative after a certain radial distance. It is investigated that the repulsive effect induced in the massive gravitons push the spacetime geometry so strongly that the asymptotic flatness is effected. On the other hand, in this model, one can have a wormhole with ordinary matter at the throat that satisfies all the energy conditions while the negative energy density is sourced by massive gravitons. Finally, using the TOV equation, it is found that the model is stable under the hydrostatic equilibrium condition. |
| first_indexed | 2024-03-12T22:14:23Z |
| format | Article |
| id | doaj.art-c4e93f611f704590bf3e2d3dc02c816a |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-12T22:14:23Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-c4e93f611f704590bf3e2d3dc02c816a2023-07-23T11:24:12ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-06-0183611310.1140/epjc/s10052-023-11681-xWormhole formation in massive gravity: an analytic descriptionAyanendu Dutta0Dhritimalya Roy1Nihal Jalal Pullisseri2Subenoy Chakraborty3Department of Physics, Jadavpur UniversityDepartment of Physics, Jadavpur UniversityDepartment of Physics, St. Stephen’s CollegeDepartment of Mathematics, Jadavpur UniversityAbstract The present study analyses the wormhole solution both in the dRGT-f(R, T) massive gravity and Einstein massive gravity. In both the models, the anisotropic pressure solution in ultrastatic wormhole geometry gives rise to the shape function that involves massive gravity parameters $$ \gamma $$ γ and $$ \Lambda $$ Λ . However, the terms consisting of $$ \gamma $$ γ and $$ \Lambda $$ Λ acts in such a way that the spacetime loses asymptotic flatness. Similar to the black hole solution in massive gravity, this inconsistency arises due to the repulsive effect of gravity which can be represented by the photon deflection angle that goes negative after a certain radial distance. It is investigated that the repulsive effect induced in the massive gravitons push the spacetime geometry so strongly that the asymptotic flatness is effected. On the other hand, in this model, one can have a wormhole with ordinary matter at the throat that satisfies all the energy conditions while the negative energy density is sourced by massive gravitons. Finally, using the TOV equation, it is found that the model is stable under the hydrostatic equilibrium condition.https://doi.org/10.1140/epjc/s10052-023-11681-x |
| spellingShingle | Ayanendu Dutta Dhritimalya Roy Nihal Jalal Pullisseri Subenoy Chakraborty Wormhole formation in massive gravity: an analytic description European Physical Journal C: Particles and Fields |
| title | Wormhole formation in massive gravity: an analytic description |
| title_full | Wormhole formation in massive gravity: an analytic description |
| title_fullStr | Wormhole formation in massive gravity: an analytic description |
| title_full_unstemmed | Wormhole formation in massive gravity: an analytic description |
| title_short | Wormhole formation in massive gravity: an analytic description |
| title_sort | wormhole formation in massive gravity an analytic description |
| url | https://doi.org/10.1140/epjc/s10052-023-11681-x |
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