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Exact cosmological solutions from Hojman conservation quantities · Around

2013

Exact cosmological solutions from Hojman conservation quantities

Capozziello, Salvatore, Roshan, Mahmood

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We present a new approach to find exact solutions for cosmological models.

By requiring the existence of a symmetry transformation vector for the equations of motion of the given cosmological model (without using either Lagrangian or Hamiltonian), one can find corresponding Hojman conserved quantities.
With the help of these conserved quantities, the analysis of the cosmological model can be simplified.
In the case of quintessence scalar-tensor models, we show that the Hojman conserved quantities exist for a wide range of V(\phi)-potentials and allow to find exact solutions for the cosmic scale factor and the scalar field.

Built on

M. Lutzky, J. Phys. A: Math. Gen 12
1979
Earlier work this paper cites.
A. D. Linde, Phys. Lett. B 129
1983
Earlier work this paper cites.
B. Ratra and J. Peebles, Phys. Rev D 37
1988
Earlier work this paper cites.
R. de Ritis, G. Marmo, G. Platania, C. Rubano, P. Scudellaro and C. Stornaiolo, Phys. Rev. D 42
1990
Earlier work this paper cites.
J. D. Barrow, Phys. Lett. B 235
1990
Earlier work this paper cites.

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