Abstract
We present the case of time-varying cosmological term \(\varLambda(t)\). The main idea arises by proposing that as in the cosmological constant case, the scalar potential is identified as \(V(\phi)=2\varLambda\), with \(\varLambda\) a constant, this identification should be kept even when the cosmological term has a temporal dependence, i.e., \(V(\phi(t))=2\varLambda(t)\). We use the Lagrangian formalism for a scalar field \(\phi\) with standard kinetic energy and arbitrary potential \(V(\phi)\) and apply this model to the Friedmann-Robertson-Walker (FRW) cosmology. Exact solutions of the field equations are obtained by a special ansatz to solve the Einstein-Klein-Gordon equation and a particular potential for the scalar field and barotropic perfect fluid. We present the evolution on this cosmological term with different scenarios.
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Acknowledgements
This work was partially supported by CONACYT 167335, 179881, 237351 grants. PROMEP grants UGTO-CA-3 and UAM-I-43. This work is part of the collaboration within the Instituto Avanzado de Cosmología and Red PROMEP: Gravitation and Mathematical Physics under project Quantum aspects of gravity in cosmological models, phenomenology and geometry of space-time. Many calculations where done by Symbolic Program REDUCE 3.8.
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Socorro, J., D’oleire, M. & Pimentel, L.O. Variable cosmological term \(\varLambda(t)\) . Astrophys Space Sci 360, 20 (2015). https://doi.org/10.1007/s10509-015-2528-8
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DOI: https://doi.org/10.1007/s10509-015-2528-8