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

In our universe, there In the real world we never truly have an exact diag{1,-1,-1,-1} for the metric tensor, also because we cannot "zoom in" indefinitely, i.e. Regarding the BH paradox, I presume redditors are more intelligent and they understand, the solution of (seeming) black hole (BH) paradox would depend on (exact) BH definition. (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. In chapter 1, Krauss discusses Lemaitre's original proposal of an expanding universe (1927-1930) which were solutions of Einstein's field equations of General Relativity. 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. For example – should all BH contain the singularity – or just .. The groups recently won the Nobel Prize for this effort (Nobel site). While serving in the war front, he produced exact solutions to some of Einstein's work in relativity theory using field equations. He also talks about how in 1951 Pope Pius XII tried to use Lemaitre's work as Perlmutter's group and another group both set out to prove that Einstein's cosmological term was zero, and wound up demonstrating the exact opposite. Einstein himself praised Karl for his excellent work. The left hand side, , is called the Einstein tensor, and can be considered as representing the geometry of space-time. There is at least one solution of Einstein's field equations describing an empty universe. Make the neighbourhood of our point as small as we like.