Gravitational measurements in higher dimensions
arXiv:1909.07733 · doi:10.3390/galaxies9010004
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.
22 pages, 10 figures and 2 tables, Accepted version
References in corpus (17)
- Confirmation of general relativity on large scales from weak lensing and galaxy velocities
- Noncommutative geometry inspired charged black holes
- Noncommutative Black Hole Thermodynamics
- Anisotropy and Corotation of Galactic Cosmic Rays
- Non-commutative geometry inspired higher-dimensional charged, black holes
- Progress in Measurements of the Gravitational Bending of Radio Waves Using the VLBA
- Noncommutative Inspired Black Holes in Extra Dimensions
- Noncommutative Schwarzschild Black Hole and Area Law
- Constraints on the primordial curvature power spectrum from primordial black holes
- Black holes thermodynamics to all orders in the Planck length in extra dimensions
- A step towards testing general relativity using weak gravitational lensing and redshift surveys
- Holographic thermalization in noncommutative geometry
- Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
- Non-commutative effects on gravitational measurements
- Orbits of particles in noncommutative Schwarzschild spacetime
- Ray-tracing in four and higher dimensional black holes: An analytical approximation
- Determining the Dimensionality of Spacetime by Gravitational Lensing
Cited by in corpus (5)
- Non-commutative effects on gravitational measurements
- Strange quark matter and proto-strange stars in an equivaparticle model
- Neutrino spin oscillations in gravitational fields in higher dimensions
- Extended datasamples under the lens of Brane World Theory
- Neutrino spin oscillations in gravitational fields in noncommutative higher dimensions