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Dark energy in global brane universe. (English) Zbl 1200.83146

Summary: We discuss the exact solutions of brane universes and the results indicate that the Friedmann equations on the branes are modified with a new density term. Then, we assume the new term as the density of dark energy. Using Wetterich’s parametrization equation of state (EOS) of dark energy, we obtain that the new term varies with the redshift \(z\). Finally, the evolutions of the mass density parameter \(\Omega_2\), dark energy density parameter \(\Omega_x\) and deceleration parameter \(q_2\) are studied.

MSC:

83F05 Relativistic cosmology
83C15 Exact solutions to problems in general relativity and gravitational theory
83E30 String and superstring theories in gravitational theory
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