We consider the static, spherically symmetric, perfect fluid solution for a given massm in general relativity, and show that its average density is bounded. We then show by an example that this need not be so for non-spherical bodies.
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Bonnor, W.B., Wickramasuriya, S.B.P. A static body of arbitrarily large density. Int J Theor Phys 5, 371–375 (1972). https://doi.org/10.1007/BF00713098
- Field Theory
- General Relativity
- Elementary Particle
- Quantum Field Theory
- Static Body