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First‐Order Approximation to a Spherically Symmetric Solution of Einstein's Equations

### Abstract

In analogy with the metrics of Schwarzschild and de Sitter, a first‐order approximation to the spherically symmetric solution of Einstein's field equations is found where the deviation from the flat Minkowski space‐time is given by potentials of the gravitational force and the cosmical Λ force. It is shown that in the Newtonian approximation the forces acting per unit mass of the fluid are the assumed gravitational self‐attraction and cosmical Λ force.

© 1969 The American Institute of Physics

Received 29 May 1968
Published online 04 November 2003

/content/aip/journal/jmp/10/4/10.1063/1.1664900

http://aip.metastore.ingenta.com/content/aip/journal/jmp/10/4/10.1063/1.1664900

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