13 citations · 22 across the 10 of their papers we have counts for
10 papers
The Two-Sheeted Topology of Extended Kerr-Type Spacetimes and a Parity-of-Crossings Property for Ring-Traversing Geodesics
Sabbir A. Rahman
We revisit the global structure of the extended Kerr spacetime and of a broader class of Kerr-type spacetimes possessing ring singularities. By working with the elementary analytic…
On the existence of exotic matter in classical Newtonian mechanics
Sabbir Rahman
According to Newton's law of gravitation the force between two particles depends upon their inertial, as well as their active and passive gravitational masses. For ordinary matter…
Topology change in spherical gravitational collapse
Sabbir Rahman
We argue that the formation of a Schwarzschild black hole via Datt-Oppenheimer-Snyder type gravitational collapse must be accompanied by a change in topology upon formation of the…
Modified Newtonian dynamics as a prediction of general relativity
Sabbir Rahman
We consider a simple model of the physical vacuum as a self-gravitating relativistic fluid. Proceeding in a step-by-step manner, we are able to show that the equations of classical…
Maximum Entropy Multivariate Density Estimation: An exact goodness-of-fit approach
Sabbir Rahman, Mahbub Majumdar
We consider the problem of estimating the population probability distribution given a finite set of multivariate samples, using the maximum entropy approach. In strict keeping with…
The path towards manifest background independence
Sabbir Rahman
The set of string vertices is extended to include moduli spaces with genus and numbers of ordinary and special punctures ranging over all integral values . It is a…