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arxiv: gr-qc/9901004 · v1 · submitted 1999-01-02 · 🌀 gr-qc · hep-th

Quantum Gravity of a Brane-like Universe

classification 🌀 gr-qc hep-th
keywords brane-likegravityquantumuniverseaccompanyingapproachedarbitraryarnowitt-deser-misner
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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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