Gravitational Measurements in Higher Dimensions
We attempt to study three significant tests of general relativity in higher dimensions, both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of Einstein’s equation in higher dimensions, with a source given by a static, spherically sy...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Galaxies |
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| Online Access: | https://www.mdpi.com/2075-4434/9/1/4 |
| _version_ | 1797413322478321664 |
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| author | Davood Mahdavian Yekta Seyed Aliasghar Alavi Majid Karimabadi |
| author_facet | Davood Mahdavian Yekta Seyed Aliasghar Alavi Majid Karimabadi |
| author_sort | Davood Mahdavian Yekta |
| collection | DOAJ |
| description | We attempt to study three significant tests of general relativity in higher dimensions, both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of Einstein’s equation in higher dimensions, with a source given by a static, spherically symmetric Gaussian distribution of mass. The resulting metric would describe a regular or curvature singularity free black hole in higher dimensions. The metric should smoothly interpolate between Schwarzschild geometry at large distance, and de-Sitter spacetime at short distance. We will consider gravitational redshift, lensing, and time delay in each sector. It will be shown that, compared to the four-dimensional spacetime, there can be significant modifications due to the presence of extra dimensions and the non-commutative corrected black holes. Finally, we shall attempt to obtain a lower bound on the size of the extra dimensions and on the mass needed to form a black hole in different dimensions. |
| first_indexed | 2024-03-09T05:15:58Z |
| format | Article |
| id | doaj.art-6a863b98faed40db8e5566aaa927d267 |
| institution | Directory Open Access Journal |
| issn | 2075-4434 |
| language | English |
| last_indexed | 2024-03-09T05:15:58Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Galaxies |
| spelling | doaj.art-6a863b98faed40db8e5566aaa927d2672023-12-03T12:45:29ZengMDPI AGGalaxies2075-44342021-01-0191410.3390/galaxies9010004Gravitational Measurements in Higher DimensionsDavood Mahdavian Yekta0Seyed Aliasghar Alavi1Majid Karimabadi2Department of Physics, Hakim Sabzevari University, Sabzevar P.O. Box 397, IranDepartment of Physics, Hakim Sabzevari University, Sabzevar P.O. Box 397, IranDepartment of Physics, Hakim Sabzevari University, Sabzevar P.O. Box 397, IranWe attempt to study three significant tests of general relativity in higher dimensions, both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of Einstein’s equation in higher dimensions, with a source given by a static, spherically symmetric Gaussian distribution of mass. The resulting metric would describe a regular or curvature singularity free black hole in higher dimensions. The metric should smoothly interpolate between Schwarzschild geometry at large distance, and de-Sitter spacetime at short distance. We will consider gravitational redshift, lensing, and time delay in each sector. It will be shown that, compared to the four-dimensional spacetime, there can be significant modifications due to the presence of extra dimensions and the non-commutative corrected black holes. Finally, we shall attempt to obtain a lower bound on the size of the extra dimensions and on the mass needed to form a black hole in different dimensions.https://www.mdpi.com/2075-4434/9/1/4gravitational measurementsregular black holeshigher dimensionsnon-commutative geometry |
| spellingShingle | Davood Mahdavian Yekta Seyed Aliasghar Alavi Majid Karimabadi Gravitational Measurements in Higher Dimensions Galaxies gravitational measurements regular black holes higher dimensions non-commutative geometry |
| title | Gravitational Measurements in Higher Dimensions |
| title_full | Gravitational Measurements in Higher Dimensions |
| title_fullStr | Gravitational Measurements in Higher Dimensions |
| title_full_unstemmed | Gravitational Measurements in Higher Dimensions |
| title_short | Gravitational Measurements in Higher Dimensions |
| title_sort | gravitational measurements in higher dimensions |
| topic | gravitational measurements regular black holes higher dimensions non-commutative geometry |
| url | https://www.mdpi.com/2075-4434/9/1/4 |
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