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arXiv · gr-qc/9901004

Quantum Gravity of a Brane-like Universe

Aharon Davidson·David Karasik
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Abstract

Quantum gravity of a brane-like Universe is formulated, and its Einstein limit is approached. Regge-Teitelboim embedding of Arnowitt-Deser-Misner formalism is carried out. Invoking a novel Lagrange multiplier, accompanying the lapse function and the shift vector, we derive the quadratic Hamiltonian and the corresponding bifurcated Wheeler-Dewitt-like equation. The inclusion of arbitrary matter resembles minimal coupling.

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Aharon Davidson, David Karasik. 1999-01-02. Quantum Gravity of a Brane-like Universe. https://doi.org/10.1142/s0217732398002321

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