I’ve been getting lots of emails and tweets about a young man named Jacob Barnett, a 12-year-old who is apparently a math genius. He’s been getting a lot of press lately because he’s tackling some ...

One of the greatest challenges in modern physics involves reconciling apparent conflicts between general relativity and quantum mechanics, which are largely viewed as incompatible due to their ...

OGRe is a modern Mathematica package for differential geometry and tensor calculus, designed to be both powerful and user-friendly. It can be used in a variety of contexts where tensor calculations ...

ABSTRACT: In recent papers, a few physicists studying Black Hole perturbation theory in General Relativity (GR) have tried to construct the initial part of a differential sequence based on the Kerr ...

General Theory of Relativity: brief recap of special relativity, equivalence principle, semi-Riemannian geometry, Einstein's field equations, Schwarzschild solution and implications (perihelion shift, ...

ABSTRACT: The purpose of this short but difficult paper is to revisit the mathematical foundations of both General Relativity (GR) and Gauge Theory (GT) in the light of a modern approach to nonlinear ...