Simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational waves
In this research, we simulated the angular momentum of gravitational field of a rotating black hole and the spin momentum of gravitational waves emitted from the black hole. At first, we calculated energy densities of the rotating gravitational field and spinning gravitational waves as the vectors,...
| Main Authors: | , |
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| Format: | Article |
| Language: | Ukrainian |
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Igor Sikorsky Kyiv Polytechnic Institute
2021-07-01
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| Series: | Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï |
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| Online Access: | http://journal.iasa.kpi.ua/article/view/236334 |
| _version_ | 1811181559419502592 |
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| author | Yoshio Matsuki Petro Bidyuk |
| author_facet | Yoshio Matsuki Petro Bidyuk |
| author_sort | Yoshio Matsuki |
| collection | DOAJ |
| description |
In this research, we simulated the angular momentum of gravitational field of a rotating black hole and the spin momentum of gravitational waves emitted from the black hole. At first, we calculated energy densities of the rotating gravitational field and spinning gravitational waves as the vectors, which were projected on the spherical curved surface of the gravitational field and of the gravitational waves. Then we calculated the angular momentum and the spin momentum as the vectors perpendicular to the curved surface. The earlier research by Paul Dirac, published in 1964, did not select the curved surface to calculate the motion of quantum particles; but, instead, he chose the flat surface to develop the theory of quantum mechanics. However, we pursued the simulation of the gravitational waves in spherical polar coordinates that form the spherical curved surface of the gravitational waves. As a result, we found that a set of anti-symmetric vectors described the vectors that were perpendicular to the spherical curved surface, and with these vectors we simulated the angular momentum of the rotating black hole’s gravitational field and the spin momentum of gravitational waves. The obtained results describe the characteristics of the rotation of a black hole and of spinning gravitational waves.
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| first_indexed | 2024-04-11T09:19:40Z |
| format | Article |
| id | doaj.art-b50a642013924800b230f3c8de984850 |
| institution | Directory Open Access Journal |
| issn | 1681-6048 2308-8893 |
| language | Ukrainian |
| last_indexed | 2024-04-11T09:19:40Z |
| publishDate | 2021-07-01 |
| publisher | Igor Sikorsky Kyiv Polytechnic Institute |
| record_format | Article |
| series | Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï |
| spelling | doaj.art-b50a642013924800b230f3c8de9848502022-12-22T04:32:14ZukrIgor Sikorsky Kyiv Polytechnic InstituteSistemnì Doslìdženâ ta Informacìjnì Tehnologìï1681-60482308-88932021-07-01110.20535/SRIT.2308-8893.2021.1.01Simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational wavesYoshio Matsuki0Petro Bidyuk1National University of Kyiv-Mohyla Academy, KyivEducational and Scientific Complex "Institute for Applied System Analysis" of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv In this research, we simulated the angular momentum of gravitational field of a rotating black hole and the spin momentum of gravitational waves emitted from the black hole. At first, we calculated energy densities of the rotating gravitational field and spinning gravitational waves as the vectors, which were projected on the spherical curved surface of the gravitational field and of the gravitational waves. Then we calculated the angular momentum and the spin momentum as the vectors perpendicular to the curved surface. The earlier research by Paul Dirac, published in 1964, did not select the curved surface to calculate the motion of quantum particles; but, instead, he chose the flat surface to develop the theory of quantum mechanics. However, we pursued the simulation of the gravitational waves in spherical polar coordinates that form the spherical curved surface of the gravitational waves. As a result, we found that a set of anti-symmetric vectors described the vectors that were perpendicular to the spherical curved surface, and with these vectors we simulated the angular momentum of the rotating black hole’s gravitational field and the spin momentum of gravitational waves. The obtained results describe the characteristics of the rotation of a black hole and of spinning gravitational waves. http://journal.iasa.kpi.ua/article/view/236334gravitational wavesangular momentumcurvature tensorstress-energy tensorblack hole |
| spellingShingle | Yoshio Matsuki Petro Bidyuk Simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational waves Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï gravitational waves angular momentum curvature tensor stress-energy tensor black hole |
| title | Simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational waves |
| title_full | Simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational waves |
| title_fullStr | Simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational waves |
| title_full_unstemmed | Simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational waves |
| title_short | Simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational waves |
| title_sort | simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational waves |
| topic | gravitational waves angular momentum curvature tensor stress-energy tensor black hole |
| url | http://journal.iasa.kpi.ua/article/view/236334 |
| work_keys_str_mv | AT yoshiomatsuki simulatingangularmomentumofgravitationalfieldofarotatingblackholeandspinmomentumofgravitationalwaves AT petrobidyuk simulatingangularmomentumofgravitationalfieldofarotatingblackholeandspinmomentumofgravitationalwaves |