Vacuum stress between conducting plates for Neuman conditions
In [1], we have found that the curved spacetime version of the vacuum stress between conducting plates was first done in flat spacetime by Brown and Maclay. Here, we calculate the energy-momentum tensor for the Casimir effect of parallel plates under Neumann boundary conditions to support our recent...
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| Format: | Article |
| Language: | English |
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Damghan university
2024-12-01
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| Series: | Iranian Journal of Astronomy and Astrophysics |
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| Online Access: | https://ijaa.du.ac.ir/article_454_156cfcca8a3e82111d1573b8855f3080.pdf |
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| _version_ | 1841554993900945408 |
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| author | Borzoo Nazari |
| author_facet | Borzoo Nazari |
| author_sort | Borzoo Nazari |
| collection | DOAJ |
| description | In [1], we have found that the curved spacetime version of the vacuum stress between conducting plates was first done in flat spacetime by Brown and Maclay. Here, we calculate the energy-momentum tensor for the Casimir effect of parallel plates under Neumann boundary conditions to support our recent results found in [2]. We use direct calculation of energy-momentum tensor by employing the well understood point splitting method of regularization, and we show that the there is first order correction to the Casimir energy in curved spacetime proportional to GM/c2R where R and M are the radius and the mass of the source of gravity. |
| format | Article |
| id | doaj-art-299e4395371546f88f8f60bb1622f98f |
| institution | Kabale University |
| issn | 2322-4924 2383-403X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Damghan university |
| record_format | Article |
| series | Iranian Journal of Astronomy and Astrophysics |
| spelling | doaj-art-299e4395371546f88f8f60bb1622f98f2025-01-08T06:27:15ZengDamghan universityIranian Journal of Astronomy and Astrophysics2322-49242383-403X2024-12-0111320521210.22128/ijaa.2024.815.1182454Vacuum stress between conducting plates for Neuman conditionsBorzoo Nazari0College of Engineering, University of Tehran, Tehran, IranIn [1], we have found that the curved spacetime version of the vacuum stress between conducting plates was first done in flat spacetime by Brown and Maclay. Here, we calculate the energy-momentum tensor for the Casimir effect of parallel plates under Neumann boundary conditions to support our recent results found in [2]. We use direct calculation of energy-momentum tensor by employing the well understood point splitting method of regularization, and we show that the there is first order correction to the Casimir energy in curved spacetime proportional to GM/c2R where R and M are the radius and the mass of the source of gravity.https://ijaa.du.ac.ir/article_454_156cfcca8a3e82111d1573b8855f3080.pdfgavitational vacuum energycasimir effectcosmological constant problemquantum vacuum |
| spellingShingle | Borzoo Nazari Vacuum stress between conducting plates for Neuman conditions Iranian Journal of Astronomy and Astrophysics gavitational vacuum energy casimir effect cosmological constant problem quantum vacuum |
| title | Vacuum stress between conducting plates for Neuman conditions |
| title_full | Vacuum stress between conducting plates for Neuman conditions |
| title_fullStr | Vacuum stress between conducting plates for Neuman conditions |
| title_full_unstemmed | Vacuum stress between conducting plates for Neuman conditions |
| title_short | Vacuum stress between conducting plates for Neuman conditions |
| title_sort | vacuum stress between conducting plates for neuman conditions |
| topic | gavitational vacuum energy casimir effect cosmological constant problem quantum vacuum |
| url | https://ijaa.du.ac.ir/article_454_156cfcca8a3e82111d1573b8855f3080.pdf |
| work_keys_str_mv | AT borzoonazari vacuumstressbetweenconductingplatesforneumanconditions |