Algebraic equations from Hamiltonian constraints on vacuum spherically symmetric metrics describe non-homogeneous dust collapse and bounce, applied to quantum-inspired models to recover or find new bounce results.
Time and a physical Hamiltonian for quantum gravity
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abstract
We present a non-perturbative quantization of general relativity coupled to dust and other matter fields. The dust provides a natural time variable, leading to a physical Hamiltonian with spatial diffeomorphism symmetry. The surprising feature is that the Hamiltonian is not a square root. This property, together with the kinematical structure of loop quantum gravity, provides a complete theory of quantum gravity, and puts in technical reach applications to cosmology, quantum gravitational collapse and Hawking radiation.
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UNVERDICTED 2representative citing papers
A Hamiltonian is constructed that renders a deformed Poisson bracket spacetime theory canonical and covariant, enabling consistent coupling to scalar matter and dust.
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Dust collapse and bounce in spherically symmetric quantum-inspired gravity models
Algebraic equations from Hamiltonian constraints on vacuum spherically symmetric metrics describe non-homogeneous dust collapse and bounce, applied to quantum-inspired models to recover or find new bounce results.
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Canonical form of a deformed Poisson bracket spacetime
A Hamiltonian is constructed that renders a deformed Poisson bracket spacetime theory canonical and covariant, enabling consistent coupling to scalar matter and dust.