Re-derivation of the constant-density star in isotropic coordinates produces a transparent metric and highlights under-appreciated special cases including pressure gravitating alone and naked singularities.
All static spherically symmetric perfect fluid solutions of Einstein's Equations
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abstract
An algorithm based on the choice of a single monotone function (subject to boundary conditions) is presented which generates all regular static spherically symmetric perfect fluid solutions of Einstein's equations. For physically relevant solutions the generating functions must be restricted by non-trivial integral-differential inequalities. Nonetheless, the algorithm is demonstrated here by the construction of an infinite number of previously unknown physically interesting exact solutions.
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
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Revisiting Schwarzschild's constant density star in isotropic coordinates
Re-derivation of the constant-density star in isotropic coordinates produces a transparent metric and highlights under-appreciated special cases including pressure gravitating alone and naked singularities.