Quantum Gravity of a Brane-like Universe

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.

Revtex, 4 pages, no figures (honorable mentioned, Gravity Research Foundation 1998)

References in corpus (1)

• Spacetime as a membrane in higher dimensions

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