Gravitational Measurements in Higher Dimensions

We attempt to study three significant tests of general relativity in higher dimensions, both commutative and non-commutative spaces. In the context geometry, we will consider a solution Einstein’s equation with source given by static, spherically symmetric Gaussian distribution mass. The resulting metric would describe regular or curvature singularity free black hole dimensions. should smoothly interpolate between Schwarzschild geometry at large distance, de-Sitter spacetime short distance. gravitational redshift, lensing, time delay each sector. It be shown that, compared four-dimensional spacetime, there can modifications due presence extra dimensions corrected holes. Finally, shall obtain lower bound on size mass needed form different