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- W2897513871 abstract "Abstract This chapter deals with the Schwarzschild metric. To find the gravitational potential U produced by a spherically symmetric object in the Newtonian theory, it is necessary to solve the Poisson equation ΔU = 4πGρ. Here, the matter density ρ and U depend only on the radial coordinate r and possibly on the time t. Outside the source the solution is U = –GM/r, where M = 4π ∫ ρr2dr is the source mass. In general relativity the problem is to find the ‘spherically symmetric’ spacetime solutions of the Einstein equations, and the analog of the vacuum solution U = –GM/r is the Schwarzschild metric." @default.
- W2897513871 created "2018-10-26" @default.
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- W2897513871 date "2018-08-30" @default.
- W2897513871 modified "2023-09-24" @default.
- W2897513871 title "The Schwarzschild solution" @default.
- W2897513871 doi "https://doi.org/10.1093/oso/9780198786399.003.0046" @default.
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