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Setting Limits on Supersymmetry Using Simplified Models
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Constructing phantom cosmologies from standard scalar field universes.

Luis P Chimento1, Ruth Lazkoz

  • 1Departamento de Física Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina. chimento@df.uba.ar

Physical Review Letters
|December 20, 2003
PubMed
Summary

Form-invariance transformations enable the creation of phantom cosmologies from standard scalar field universes. This method links standard and phantom models, even with brane-world modifications.

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Area of Science:

  • Cosmology
  • Theoretical Physics
  • General Relativity

Background:

  • Scalar field cosmologies are fundamental to understanding the universe's evolution.
  • Phantom cosmologies present unique challenges and opportunities in cosmological models.
  • Form-invariance transformations offer a novel mathematical approach to explore cosmological transformations.

Purpose of the Study:

  • To demonstrate the application of form-invariance transformations for constructing phantom cosmologies.
  • To establish a mathematical link between standard and phantom cosmological models.
  • To investigate the persistence of this duality under brane-world modifications.

Main Methods:

  • Relating two flat Friedmann-Robertson-Walker cosmologies with different barotropic indices.
  • Analyzing the specific case where barotropic indices are negative reciprocals (gamma; = -gamma).
  • Interpreting matter content via self-interacting scalar fields.

Main Results:

  • A transformation is identified that links standard and phantom cosmologies.
  • This duality is illustrated using models with exponential potentials.
  • The duality is shown to be robust, persisting even with brane-world corrections to the Friedmann equation.

Conclusions:

  • Form-invariance transformations provide a powerful tool for generating phantom cosmologies.
  • The established duality offers new perspectives on the relationship between standard and exotic cosmological models.
  • The findings have implications for understanding dark energy and the universe's accelerated expansion.