Cosmological solutions, p-branes, and the Wheeler-DeWitt equation

H. Lü, J. Maharana, S. Mukherji, and C. N. Pope
Phys. Rev. D 57, 2219 – Published 15 February 1998
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Abstract

The low energy effective actions which arise from string theory or M-theory are considered in the cosmological context, where the graviton, dilaton and antisymmetric tensor field strengths depend only on time. We show that previous results can be extended to include cosmological solutions that are related to the EN Toda equations. The solutions of the Wheeler-DeWitt equation in minisuperspace are obtained for some of the simpler cosmological models by introducing intertwining operators that generate canonical transformations which map the theories into free theories. We study the cosmological properties of these solutions, and also briefly discuss generalized Brans-Dicke models in our framework. The cosmological models are closely related to p-brane solitons, which we discuss in the context of the EN Toda equations. We give the explicit solutions for extremal multi-charge (D3)-branes in the truncated system described by the D4=O(4,4) Toda equations.

  • Received 24 July 1997

DOI:https://doi.org/10.1103/PhysRevD.57.2219

©1998 American Physical Society

Authors & Affiliations

H. Lü1, J. Maharana2,3, S. Mukherji4, and C. N. Pope4,5

  • 1Laboratoire de Physique Théorique de l’École Normale Supérieure, Paris CEDEX 05, France
  • 2Institute of Physics, Bhubaneswar, India
  • 3Centre Physique Théorique, Ecole Polytechnique, 91128 Palaiseau, France
  • 4Physics Department, Texas A & M University, College Station, Texas 77843
  • 5SISSA, Via Beirut No. 2-4, 34013 Trieste, Italy

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Vol. 57, Iss. 4 — 15 February 1998

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