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Solutions of the Einstein and Einstein-Maxwell Equations

Journal of Mathematical Physics, 1969
Algebraically degenerate solutions of the Einstein and Einstein-Maxwell equations are studied. Explicit solutions are obtained which contain two arbitrary functions of a complex variable, one function being associated with the gravitational field and the other mainly with the electromagnetic field.
A. Schild, G.C. Debney, Roy P. Kerr
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Einstein on Einstein

2020
HANOCH GUTFREUND, JÜRGEN RENN
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Einstein’s Equations

1996
In this chapter we discuss Einstein’s gravitational equations, which state that the presence of matter and energy creates curvature in spacetime, via $${G}_{jk} = 8\pi \kappa {T}_{jk},$$ (0.1) where Gjk = Ricjk − (1∕2)Sgjk is the Einstein tensor, Tjk is the stress-energy tensor due to the presence of matter, and κ is a positive constant. In 1
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Einstein

Scientific American, 2015
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