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- W2974784792 abstract "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." @default.
- W2974784792 created "2019-09-26" @default.
- W2974784792 creator A5006238587 @default.
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- W2974784792 date "2021-01-11" @default.
- W2974784792 modified "2023-09-23" @default.
- W2974784792 title "Gravitational Measurements in Higher Dimensions" @default.
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- W2974784792 doi "https://doi.org/10.3390/galaxies9010004" @default.
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