Shortcuts to Spherically Symmetric Solutions: A Cautionary Note

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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2 pages. Amplified derivation, accepted for publication in Class Quant Grav

Scientific paper

10.1088/0264-9381/21/22/N01

Spherically symmetric solutions of generic gravitational models are
optimally, and legitimately, obtained by expressing the action in terms of the
two surviving metric components. This shortcut is not to be overdone, however:
a one-function ansatz invalidates it, as illustrated by the incorrect solutions
of [1].

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