Tensors and Relativity
by Peter Dunsby
Number of pages: 203
From the contents: the special theory of relativity, vectors and tensors in special relativity, conceptual basis of general relativity, curved space time and general relativity, Einstein's field equations, Schwarzschild's solution.
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by Bernhard Auchmann, Stefan Kurz - arXiv
We introduce a relativistic splitting structure as a means to map equations of electromagnetism from curved four-dimensional space-time to 3-dimensional observer's space. We focus on mathematical structures that are motivated by the physical theory.
by Francois Dehouck - arXiv
This thesis deals with the construction of conserved charges for asymptotically flat spacetimes at spatial infinity in four spacetime dimensions in a pedagogical way. It highlights the difficulties with understanding the gravitational duality...
by Frederic P. Schuller - arXiv
Which geometries on a smooth manifold can serve as a spacetime structure? This question is comprehensively addressed from first principles, exploring the kinematics and gravitational dynamics of all tensorial geometries on a smooth manifold.
by L. Bolton - E.P. Dutton & Co.
This little book gives a remarkably readable and intelligible account of the theory of relativity. The author is presenting his material without presupposing more than elementary algebra and the elements of plane geometry.