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If one is only interested in the weak field limit of the theory, the dynamics of matter can be computed using special relativity methods and/or Newtonian laws of gravity and the resulting stress–energy tensor can then be plugged into the Einstein field equations. But if one requires an exact solution or a solution describing strong fields ...
For over a century, unified field theory has remained an open line of research. The term was coined by Albert Einstein, [3] who attempted to unify his general theory of relativity with electromagnetism. Einstein attempted to create a classical unified field theory, rejecting quantum mechanics. Among other difficulties, this required a new ...
The study of exact solutions of Einstein's field equations is one of the activities of cosmology. It leads to the prediction of black holes and to different models of evolution of the universe. One can also discover new solutions of the Einstein field equations via the method of orthonormal frames as pioneered by Ellis and MacCallum. [22]
In general relativity, an exact solution is a (typically closed form) solution of the Einstein field equations whose derivation does not invoke simplifying approximations of the equations, though the starting point for that derivation may be an idealized case like a perfectly spherical shape of matter.
Inspired by Einstein's approach to a unified field theory and Eddington's idea of the affine connection as the sole basis for differential geometric structure for space-time, Erwin Schrödinger from 1940 to 1951 thoroughly investigated pure-affine formulations of generalized gravitational theory. Although he initially assumed a symmetric affine ...
A theory of everything (TOE), final theory, ultimate theory, unified field theory, or master theory is a hypothetical singular, all-encompassing, coherent theoretical framework of physics that fully explains and links together all aspects of the universe. [1]: 6 Finding a theory of everything is one of the major unsolved problems in physics. [2 ...
A Comment on a Criticism of Unified Field Theory: Physical Review, 89, 321: Classical unified field theories. [281] Schilpp 317: 1954: Algebraic Properties of the Field in the Relativistic Theory of the Asymmetric Field: Annals of Mathematics, 59, 230–244: Classical unified field theories. [282] Co-authored with B. Kaufman. Schilpp 318: 1955
The Cauchy problem (sometimes called the initial value problem) is the attempt at finding a solution to a differential equation given initial conditions. In the context of general relativity , it means the problem of finding solutions to Einstein's field equations — a system of hyperbolic partial differential equations — given some initial ...