Numerical simulation of gravitational waves from a black hole, using curvature tensors
In this research we formulated the curvature tensors with the system of spherical polar coordinates, which describe the gravitational field and gravitational waves of a black hole; and then we calculated eigenvalues of the curvature tensors to estimate the relative strengths of their components to t...
| Main Authors: | , |
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| Format: | Article |
| Language: | Ukrainian |
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Igor Sikorsky Kyiv Polytechnic Institute
2020-06-01
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| Series: | Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï |
| Subjects: | |
| Online Access: | http://journal.iasa.kpi.ua/article/view/209134 |
| _version_ | 1811205028013146112 |
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| author | Yoshio Matsuki Petro I. Bidyuk |
| author_facet | Yoshio Matsuki Petro I. Bidyuk |
| author_sort | Yoshio Matsuki |
| collection | DOAJ |
| description | In this research we formulated the curvature tensors with the system of spherical polar coordinates, which describe the gravitational field and gravitational waves of a black hole; and then we calculated eigenvalues of the curvature tensors to estimate the relative strengths of their components to the stress-energy tensor in Einstein’s field equation. For this simulation, we assumed that the time and the distance interact with each other if we travel from Earth to the inside of the black hole, and then the result of the simulation showed that the gravitational waves carry the same components of the gravitational field of the black hole. On the other hand, when we assumed that the time and the distance are independent, which resembles the situation outside of the boundary of the black hole toward Earth, the curvature tensors are different between those of the gravitational field and the gravitational waves. Upon the results of the simulation we conclude that the gravitational waves that come from the inside of the black hole carry the information of the gravitational field inside of the black hole, if we assume that time and space are dependent each other. |
| first_indexed | 2024-04-12T03:23:40Z |
| format | Article |
| id | doaj.art-218b507ab1e84d01a338e12bd6dfc943 |
| institution | Directory Open Access Journal |
| issn | 1681-6048 2308-8893 |
| language | Ukrainian |
| last_indexed | 2024-04-12T03:23:40Z |
| publishDate | 2020-06-01 |
| publisher | Igor Sikorsky Kyiv Polytechnic Institute |
| record_format | Article |
| series | Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï |
| spelling | doaj.art-218b507ab1e84d01a338e12bd6dfc9432022-12-22T03:49:48ZukrIgor Sikorsky Kyiv Polytechnic InstituteSistemnì Doslìdženâ ta Informacìjnì Tehnologìï1681-60482308-88932020-06-01110.20535/SRIT.2308-8893.2020.1.05Numerical simulation of gravitational waves from a black hole, using curvature tensorsYoshio Matsuki0Petro I. Bidyuk1The Laboratory for Econometrics and Forecasting at the World Data Center for Geoinformatics and Sustainable Development, the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", KyivEducational and Scientific Complex "Institute for Applied System Analysis" of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", KyivIn this research we formulated the curvature tensors with the system of spherical polar coordinates, which describe the gravitational field and gravitational waves of a black hole; and then we calculated eigenvalues of the curvature tensors to estimate the relative strengths of their components to the stress-energy tensor in Einstein’s field equation. For this simulation, we assumed that the time and the distance interact with each other if we travel from Earth to the inside of the black hole, and then the result of the simulation showed that the gravitational waves carry the same components of the gravitational field of the black hole. On the other hand, when we assumed that the time and the distance are independent, which resembles the situation outside of the boundary of the black hole toward Earth, the curvature tensors are different between those of the gravitational field and the gravitational waves. Upon the results of the simulation we conclude that the gravitational waves that come from the inside of the black hole carry the information of the gravitational field inside of the black hole, if we assume that time and space are dependent each other.http://journal.iasa.kpi.ua/article/view/209134Gravitational fieldgravitational wavescurvature tensorblack holespherical polar coordinates |
| spellingShingle | Yoshio Matsuki Petro I. Bidyuk Numerical simulation of gravitational waves from a black hole, using curvature tensors Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï Gravitational field gravitational waves curvature tensor black hole spherical polar coordinates |
| title | Numerical simulation of gravitational waves from a black hole, using curvature tensors |
| title_full | Numerical simulation of gravitational waves from a black hole, using curvature tensors |
| title_fullStr | Numerical simulation of gravitational waves from a black hole, using curvature tensors |
| title_full_unstemmed | Numerical simulation of gravitational waves from a black hole, using curvature tensors |
| title_short | Numerical simulation of gravitational waves from a black hole, using curvature tensors |
| title_sort | numerical simulation of gravitational waves from a black hole using curvature tensors |
| topic | Gravitational field gravitational waves curvature tensor black hole spherical polar coordinates |
| url | http://journal.iasa.kpi.ua/article/view/209134 |
| work_keys_str_mv | AT yoshiomatsuki numericalsimulationofgravitationalwavesfromablackholeusingcurvaturetensors AT petroibidyuk numericalsimulationofgravitationalwavesfromablackholeusingcurvaturetensors |