Quadrupole formulae with cosmological constant: comparison
Abstract We consider three different approaches (by Ashtekar, Bonga and Kesavan; Hoque and Virmani; and Dobkowski-Ryłko and Lewandowski) to investigate gravitational radiation produced by time changing matter source in de Sitter spacetime. All of them lead to generalizations of the quadrupole formul...
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| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)034 |
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| author | Denis Dobkowski-Ryłko Jerzy Lewandowski |
| author_facet | Denis Dobkowski-Ryłko Jerzy Lewandowski |
| author_sort | Denis Dobkowski-Ryłko |
| collection | DOAJ |
| description | Abstract We consider three different approaches (by Ashtekar, Bonga and Kesavan; Hoque and Virmani; and Dobkowski-Ryłko and Lewandowski) to investigate gravitational radiation produced by time changing matter source in de Sitter spacetime. All of them lead to generalizations of the quadrupole formula, however, due to different gauge conditions and choices of the hypersurfaces, across which the energy flux is computed, it is nontrivial to see that they all coincide, as one would expect from the symplectic theory. Each of the expressions for the radiated energy in the form of gravitational waves is expressed in terms of the mass and pressure quadrupole moments and written explicitly up to the linear order in Λ $$ \sqrt{\Lambda} $$ , or equivalently in Hubble parameter H. It is shown that up to the first order all three of the generalizations of the quadrupole formula agree. |
| format | Article |
| id | doaj-art-aa13fb780abf43ed812f88e75733cab8 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-aa13fb780abf43ed812f88e75733cab82025-01-19T12:07:18ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025111810.1007/JHEP01(2025)034Quadrupole formulae with cosmological constant: comparisonDenis Dobkowski-Ryłko0Jerzy Lewandowski1Institute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics and Informatics, University of GdanskFaculty of Physics, University of WarsawAbstract We consider three different approaches (by Ashtekar, Bonga and Kesavan; Hoque and Virmani; and Dobkowski-Ryłko and Lewandowski) to investigate gravitational radiation produced by time changing matter source in de Sitter spacetime. All of them lead to generalizations of the quadrupole formula, however, due to different gauge conditions and choices of the hypersurfaces, across which the energy flux is computed, it is nontrivial to see that they all coincide, as one would expect from the symplectic theory. Each of the expressions for the radiated energy in the form of gravitational waves is expressed in terms of the mass and pressure quadrupole moments and written explicitly up to the linear order in Λ $$ \sqrt{\Lambda} $$ , or equivalently in Hubble parameter H. It is shown that up to the first order all three of the generalizations of the quadrupole formula agree.https://doi.org/10.1007/JHEP01(2025)034de Sitter spaceBlack Holes |
| spellingShingle | Denis Dobkowski-Ryłko Jerzy Lewandowski Quadrupole formulae with cosmological constant: comparison Journal of High Energy Physics de Sitter space Black Holes |
| title | Quadrupole formulae with cosmological constant: comparison |
| title_full | Quadrupole formulae with cosmological constant: comparison |
| title_fullStr | Quadrupole formulae with cosmological constant: comparison |
| title_full_unstemmed | Quadrupole formulae with cosmological constant: comparison |
| title_short | Quadrupole formulae with cosmological constant: comparison |
| title_sort | quadrupole formulae with cosmological constant comparison |
| topic | de Sitter space Black Holes |
| url | https://doi.org/10.1007/JHEP01(2025)034 |
| work_keys_str_mv | AT denisdobkowskiryłko quadrupoleformulaewithcosmologicalconstantcomparison AT jerzylewandowski quadrupoleformulaewithcosmologicalconstantcomparison |