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Nonsingular global string compactifications

Gregory1

  • 1Centre for Particle Theory, Durham University, South Road, Durham, DH1 3LE, United Kingdom.

Physical Review Letters
|October 4, 2000
PubMed
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Researchers explored exotic spacetime compactification with extra dimensions, proving a nonsingular static solution exists with a negative cosmological constant. This offers potential insights into the hierarchy problem.

Area of Science:

  • Theoretical Physics
  • String Theory
  • Cosmology

Background:

  • Investigating extra spatial dimensions is crucial for understanding fundamental physics.
  • Existing models like Randall-Sundrum and Cohen-Kaplan offer frameworks for extra dimensions.
  • The hierarchy problem remains a significant challenge in particle physics.

Purpose of the Study:

  • To explore a novel spacetime compactification using a global string with two infinite extra dimensions.
  • To investigate the existence of nonsingular solutions in this exotic spacetime model.
  • To assess the potential of this model for resolving the hierarchy problem.

Main Methods:

  • Utilizing a dynamical systems argument to prove the existence of a nonsingular static solution.
  • Analyzing solutions with and without a negative cosmological constant.

Related Experiment Videos

  • Comparing the proposed model with established extra-dimensional spacetimes.

    • Main Results:

    • A nonsingular static solution is proven to exist when a negative cosmological constant is present.
    • A nonsingular solution is also found to exist with a time-dependent metric, even without a cosmological constant.
    • The study provides a comparative analysis against Randall-Sundrum and Cohen-Kaplan models.

    Conclusions:

    • The proposed exotic compactification offers a new theoretical framework for extra dimensions.
    • The existence of nonsingular solutions suggests potential viability for the model.
    • Further investigation is warranted to determine its applicability as a realistic solution to the hierarchy problem.