4 papers
The Einstein-Cartan-Dirac theory
Swanand Khanapurkar
There are various generalizations of Einstein's theory of gravity (GR); one of which is the Einstein-Cartan (EC) theory. It modifies the geometrical structure of manifold and relax…
Einstein-Cartan-Dirac equations in the Newman-Penrose formalism
Swanand Khanapurkar, Abhinav Varma, Nehal Mittal +2
We formulate the Einstein-Cartan-Dirac equations in the Newman-Penrose (NP) formalism, thereby presenting a more accurate and explicit analysis of previous such studies. The equati…
Non-relativistic limit of Einstein-Cartan-Dirac equations
Swanand Khanapurkar, Arnab Pradhan, Vedant Dhruv +1
We derive the Schrödinger-Newton equation as the non-relativistic limit of the Einstein-Dirac equations. Our analysis relaxes the assumption of spherical symmetry, made in earlier…
A duality between curvature and torsion
Swanand Khanapurkar, Tejinder P. Singh
Compton wavelength and Schwarzschild radius are considered here as limiting cases of a unified length scale. Using this length, it is shown that the Dirac equation and the Einstein…