We discuss the particle horizon problem in the framework of spatially homogeneous and isotropic scalar cosmologies. To this purpose we consider a Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime with possibly non-zero spatial sectional curvature (and arbitrary dimension), and assume that the content of the universe is a family of perfect fluids, plus a scalar field that can be a quintessence or a phantom (depending on the sign of the kinetic part in its action functional). We show that the occurrence of a particle horizon is unavoidable if the field is a quintessence, the spatial curvature is non-positive and the usual energy conditions are fulfilled by the perfect fluids. As a partial converse, we present three solvable models where a phantom is present in addition to a perfect fluid, and no particle horizon appears.

On the Necessity of Phantom Fields for Solving the Horizon Problem in Scalar Cosmologies / D. Fermi, M. Gengo, L. Pizzocchero. - In: UNIVERSE. - ISSN 2218-1997. - 5:3(2019 Mar 11). [10.3390/universe5030076]

On the Necessity of Phantom Fields for Solving the Horizon Problem in Scalar Cosmologies

D. Fermi
Primo
;
M. Gengo
Secondo
;
L. Pizzocchero
Ultimo
2019-03-11

Abstract

We discuss the particle horizon problem in the framework of spatially homogeneous and isotropic scalar cosmologies. To this purpose we consider a Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime with possibly non-zero spatial sectional curvature (and arbitrary dimension), and assume that the content of the universe is a family of perfect fluids, plus a scalar field that can be a quintessence or a phantom (depending on the sign of the kinetic part in its action functional). We show that the occurrence of a particle horizon is unavoidable if the field is a quintessence, the spatial curvature is non-positive and the usual energy conditions are fulfilled by the perfect fluids. As a partial converse, we present three solvable models where a phantom is present in addition to a perfect fluid, and no particle horizon appears.
scalar field cosmologies; particle horizon; phantom field; quintessence
Settore MAT/07 - Fisica Matematica
Settore MAT/03 - Geometria
Teorie geometriche e analitiche dei sistemi Hamiltoniani in dimensioni finite e infinite
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/645668
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