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The classical wormhole solution and wormhole wavefunction with a nonlinear Born-Infeld scalar field

H. Q. Lu·L. M. Shen·P. Ji·G. F. Ji·N. J. Sun
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Abstract

On this paper we consider the classical wormhole solution of the Born-Infeld scalar field. The corresponding classical wormhole solution can be obtained analytically for both very small and large $\dotϕ$. At the extreme limits of small $\dotϕ$ the wormhole solution has the same format as one obtained by Giddings and Strominger[10]. At the extreme limits of large $\dotϕ$ the wormhole solution is a new one. The wormhole wavefunctions can also be obtained for both very small and large $\dotϕ$. These wormhole wavefunctions are regarded as solutions of quantum-mechanical Wheeler--Dewitt equation with certain boundary conditions.

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H. Q. Lu, L. M. Shen, P. Ji, G. F. Ji, N. J. Sun. 2002-04-03. The classical wormhole solution and wormhole wavefunction with a nonlinear Born-Infeld scalar field. https://arxiv.org/abs/gr-qc/0204013

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