Canonical Quantization of Relativistic Balls of Dust

Journal Article · Thu Nov 01 04:00:00 EST 1973 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.8.3253· OSTI ID:4341139

Lund, Fernando

The Hamiltonian forsn for the equations of a relativistic perfect fluid is considered and later specialized to the case of spherical symmetry and vanishing pressure. When comoving coordinates are used in the canonical formalism, one gets a reduced Hamiltonian which is independent of time. The continuous number of degrees of freedom are decoupled and the Schrodinger equation separates from a functional differential equation to a set of identical ordinary differential equations. Boundary conditions for these equations are naturally obtained by requiring that the minisuperspace be geodesically complete. The formalism remains the same whether one treats a closed nonhomogeneous universe or a collapsing star. The problem of singularities is discussed, and it is concluded that in this minisuperspace quantum formalism there is no inevitable singularity.

• Research Organization: Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-023385
• OSTI ID: 4341139
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 8; ISSN 0556-2821
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

*GENERAL RELATIVITY THEORY-- COSMIC DUST
BOUNDARY CONDITIONS
HAMILTONIAN FUNCTION
N76300* --Physics (Theoretical)--Gravitation & General Relativity
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