Gravitational properties of vacuumless defects in the Randall-Sundrum universe

Yu.V. Grats and A.S. Mikhaylov1

Abstract

Topological defects can arise in symmetry-breaking models where the scalar field potential V(|f|) has no minima and is some monotonically decreasing function of |f|. These so-called vacuumless defects are quite different from analogous üsual" defects. We investigate the gravitational field outside a global vacuumless string and a global vacuumless monopole embedded in the brane of the Randall-Sundrum one-brane model. Leading-order corrections to the metric around vacuumless defects on the brane are determined.

References

  1. V. A. Rubakov, Phys. Uspekhi 171, 913 (2001).
  2. L. Randall and R. Sundrum, Phys. Rev. Lett. 83 3370 (1999).
  3. L. Randall and R. Sundrum, Phys. Rev. Lett. 83 4690 (1999).
  4. I. Cho and A. Vilenkin, Phys. Rev. D 59 021701 (1999).
  5. Yu. V. Grats and V. Dmitriev, Grav. & Cosmol. 12 21 (2006).
  6. I. Cho and A. Vilenkin, Phys. Rev. D 59 063510 (1999).
  7. The formation and evolution of cosmic strings, ed. by G. W. Gibbons, S. W. Hawking, and T. Vachaspati (Cambridge Univ. Press, 1990).
  8. A. Vilenkin and E. P. S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge Univ. Press, 1994)
  9. I. Affleck and N. Seiberg, Nucl. Phys. B 241 493 (1984).
  10. I. V. Aref'eva, M. G. Ivanov et al., Nucl. Phys. B 590 273 (2000).
  11. G. E. Shilov, Mathematical Analysis: Second Special Cource (Moscow, Nauka, 1965).
For more information about this paper please visit Springer's Home Page of this paper.



Back to The Contents Page