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Gravity in the randall-sundrum brane world

Garriga1, Tanaka

  • 1IFAE, Departament de Fisica, Universitat Autonoma de Barcelona, 08193 Bellaterra, Barcelona, Spain and Isaac Newton Institute, University of Cambridge, 20 Clarkson Road, Cambridge, CB3 0EH, United Kingdom.

Physical Review Letters
|October 6, 2000
PubMed
Summary

Researchers explored gravitational fields in Randall-Sundrum brane worlds. They found localized fields near a single wall and connections to Brans-Dicke gravity with two walls, offering insights into modified gravity theories.

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Area of Science:

  • Theoretical physics
  • Gravitational physics
  • Cosmology

Background:

  • The Randall-Sundrum model proposes extra spatial dimensions (branes) to explain gravity's weakness.
  • Understanding gravitational fields in these models is crucial for testing alternative theories of gravity.

Purpose of the Study:

  • To investigate the behavior of weak gravitational fields generated by matter sources within the Randall-Sundrum brane world scenario.
  • To analyze Kaluza-Klein corrections to gravitational fields and explore connections to modified gravity theories like Brans-Dicke gravity.

Main Methods:

  • Analysis of the linearized gravitational field equations in the Randall-Sundrum model.
  • Calculation of Kaluza-Klein corrections for nonrelativistic spherical objects.
  • Examination of scenarios with single and double branes of varying tensions.

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Main Results:

  • For a single positive-tension brane, the gravitational field localizes near stationary sources.
  • Leading Kaluza-Klein corrections modify the gravitational field of spherical objects, deviating from the Schwarzschild solution.
  • Two opposite-tension branes recover linearized Brans-Dicke (BD) gravity with distinct BD parameters.

Conclusions:

  • The Randall-Sundrum model exhibits unique gravitational field properties depending on brane configuration and source characteristics.
  • The findings suggest potential observational differences from standard gravity, particularly concerning Kaluza-Klein effects and Brans-Dicke parameter values.