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arXiv · 1909.07733

Gravitational measurements in higher dimensions

Davood Mahdavian Yekta·S. A. Alavi·Majid Karimabadi
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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 the Einstein 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.

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Davood Mahdavian Yekta, S. A. Alavi, Majid Karimabadi. 2019-09-17. Gravitational measurements in higher dimensions. https://doi.org/10.3390/galaxies9010004

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