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Exact Solutions of Einstein's Field Equations Cornelius Hoenselaers, Dietrich Kramer, Eduard Herlt, Hans Stephani, Malcolm MacCallum
Publisher: Cambridge

In these models, five-dimensional Einstein field equations, 5 𝐺 𝐼 , 𝐽 = 𝜅 2 5 𝑇 𝐼 , 𝐽 , ( 1 . (Again, the analogy is not exact, but please bear with me.) In string theory, on the other hand, space is static. Such a system forms naturally as a result of a merger between two galaxies, each hosting a single black hole at its center. However, in the twentieth century, Gödel and others discovered solutions to the equations of Einstein's general theory of relativity that allowed closed loops of proper time (closed time-like curves). The field equations are saying, that every curvature of space-time (curvature tensor) has its energy density assigned (stress energy tensor) - this is the whole basis of general relativity. Since energy and mass are related by Einstein's famous E = mc2 equation, the more energy that goes into the collisions, the heavier the particles that can be spewed out. Within the field of cognitive science, one wants to know what are the neural mechanisms that account not only for our experience of time's flow, but also for our ability to place events into the proper time order. A known configuration of classical fields has zero entropy: there is nothing random about electric and magnetic fields, orgravitational waves. Goedel was at the same university, Princeton, and as a birthday present he presented Einstein a solution of Einstein's field equation – the Gödel metrik. (Phys.org)—A pair of mathematicians—one from Indiana University and the other from Sichuan University in China—have proposed a unified theory of dark matter and dark energy that alters Einstein's equations describing the fundamentals of gravity. The theory is not yet capable of predicting that heavy objects . We have immediate experiences .. However, even though the Einstein field equations are present, their solutions are only consistent with string theory for the background which gave the beta functions, Minkowski space. [19] found a family of exact, anisotropic solution to the five-dimensional field equation. 1 ) where 5 𝐺 𝐼 , 𝐽 is the .