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Exact solutions in general relativity

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Line radiation solution of Einstein's field equations.

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Exact Field Equations Solution, colliding em and gravity plane waves

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Radiating charged star exterior solution and related metrics

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Transforming the charged black hole solutions

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Exact Solutions of Einstein's Equations with atlas 2 for Mathematica

In general relativity, an exact solution is a Lorentzian manifold equipped with tensor fields modeling states of ordinary matter, such as a fluid, or classical nongravitational fields such as the electromagnetic field.
    • Background and definition 

    • Difficulties with the definition 

    • Types of exact solution 

    • Constructing solutions 

    • Existence of solutions 

    • Global stability theorems 

    • The positive energy theorem