Generating static spherically symmetric anisotropic solutions of Einstein's equations from isotropic Newtonian solutions

Journal Article · Tue Sep 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.064039· OSTI ID:21322752

Lake, Kayll ^[1]

---

1. Department of Physics, Queen's University, Kingston, Ontario, K7L 3N6 (Canada)

I use the Newtonian equation of hydrostatic equilibrium for an isotropic fluid sphere to generate exact anisotropic solutions of Einstein's equations. The input function is simply the density. An infinite number of regular solutions are constructed, some of which satisfy all the standard energy conditions. Two classes of these solutions generalize the Newtonian polytropes of index 0 and 1.

• OSTI ID: 21322752
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevD.80.064039; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
CLASSICAL MECHANICS
DENSITY
EINSTEIN FIELD EQUATIONS
EQUILIBRIUM
EXACT SOLUTIONS
HYDROSTATICS
MATHEMATICAL SOLUTIONS
SYMMETRY