Vanishing of the cosmological constant in nonfactorizable geometry

T. Padmanabhan and S. Shankaranarayanan
Phys. Rev. D 63, 105021 – Published 26 April 2001
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Abstract

We generalize the results of Randall and Sundrum to a wider class of four-dimensional space-times including the four-dimensional Schwarzschild background and de Sitter universe. We solve the equation for graviton propagation in a general four dimensional background and find an explicit solution for a zero mass bound state of the graviton. We find that this zero mass bound state is normalizable only if the cosmological constant is strictly zero, thereby providing a dynamical reason for the vanishing of cosmological constant within the context of this model. We also show that the results of Randall and Sundrum can be generalized without any modification to the Schwarzschild background.

  • Received 17 November 2000

DOI:https://doi.org/10.1103/PhysRevD.63.105021

©2001 American Physical Society

Authors & Affiliations

T. Padmanabhan* and S. Shankaranarayanan

  • IUCAA, Post Bag 4, Ganeshkhind, Pune 411 007, India

  • *Email address: paddy@iucaa.ernet.in
  • Email address: shanki@iucaa.ernet.in

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Issue

Vol. 63, Iss. 10 — 15 May 2001

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