Wave functions for the Schwarzschild black hole interior

Journal Article · Mon May 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.104009· OSTI ID:20774694

Cartin, Daniel; Khanna, Gaurav ^[1]

---

1. Naval Academy Preparatory School, 197 Elliot Street, Newport, Rhode Island 02841 (United States)

Using the Hamiltonian constraint derived by Ashtekar and Bojowald, we look for preclassical wave functions in the Schwarzschild interior. In particular, when solving this difference equation by separation of variables, an inequality is obtained relating the Immirzi parameter {gamma} to the quantum ambiguity {delta} appearing in the model. This bound is violated when we use a natural value for {delta} based on loop quantum gravity together with a recent proposal for {gamma}. We also present numerical solutions of the constraint.

• OSTI ID: 20774694
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 10; Other Information: DOI: 10.1103/PhysRevD.73.104009; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COSMOLOGY
HAMILTONIANS
NUMERICAL SOLUTION
QUANTUM GRAVITY
SCHWARZSCHILD METRIC
WAVE FUNCTIONS