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SIGMA 4 (2008), 009, 11 pages arXiv:0801.4728
https://doi.org/10.3842/SIGMA.2008.009
Contribution to the Proceedings of the Seventh International Conference Symmetry in Nonlinear Mathematical Physics
A Unified Model of Phantom Energy and Dark Matter
Max Chaves a and Douglas Singleton b
a) Escuela de Fisica Universidad de Costa Rica, San Jose, Costa Rica
b) Physics Department, CSU Fresno, Fresno, CA 93740-8031, USA
Received November 01, 2007, in final form January 22, 2008; Published online January 30, 2008
Abstract
To explain the acceleration of the cosmological expansion
researchers have considered an unusual form of mass-energy
generically called dark energy. Dark energy has a ratio of
pressure over mass density which obeys
w = p/ρ < −1/3. This form of mass-energy leads to
accelerated expansion. An extreme form of dark energy, called
phantom energy, has been proposed which has w = p/ρ < −1.
This possibility is favored by the observational data. The simplest
model for phantom energy involves the introduction of
a scalar field with a negative kinetic energy term. Here we
show that theories based on graded Lie algebras naturally have such
a negative kinetic energy and thus give a model for phantom energy in a
less ad hoc manner. We find that the model
also contains ordinary scalar fields and anti-commuting (Grassmann) vector
fields which act as a form of two component dark matter. Thus from a
gauge theory based on a graded algebra we naturally obtained
both phantom energy and dark matter.
Key words:
dark energy; phantom energy; graded algebras.
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