# Unified Dark Matter in Scalar Field Cosmologies

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Daniele Bertacca, Oct 17, 2012 Available from:- [Show abstract] [Hide abstract]

**ABSTRACT:**We consider the two scalar field cosmology in a FRW spatially flat spacetime where the scalar fields interact both in the kinetic part and the potential. We apply the Noether point symmetries in order to define the interaction of the scalar fields. We use the point symmetries in order to write the field equations in the normal coordinates and we find that the Lagrangian of the field equations which admits at least three Noether point symmetries describes linear Newtonian systems. Furthermore, by using the corresponding conservation laws we find exact solutions of the field equations. Finally, we generalize our results to the case of N scalar fields interacting both in their potential and their kinematic part in a flat FRW background.Physical Review D 08/2014; 4(90):043529. DOI:10.1103/PhysRevD.90.043529 · 4.86 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We investigate the correspondence between a perfect fluid and a scalar field and show a possible way of expressing thermodynamic quantities such as entropy, particle number density, temperature and chemical potential in terms of the scalar field phi and its kinetic term X. We prove a theorem which relates isentropy with purely kinetic Lagrangian. As an application, we study the evolution of the gravitational potential in cosmological perturbation theory.Classical and Quantum Gravity 02/2014; 31(5). DOI:10.1088/0264-9381/31/5/055006 · 3.10 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A perfect irrotational fluid with the equation of state of dust, Irrotational Dark Matter (IDM), is incapable of virializing and instead forms a cosmoskeleton of filaments with supermassive black holes at the joints. This stark difference from the standard cold dark matter (CDM) scenario arises because IDM must exhibit potential flow at all times, preventing shell-crossing from occurring. This scenario is applicable to general non-oscillating scalar-field theories with a small sound speed. Our model of combined IDM and CDM components thereby provides a solution to the problem of forming the observed billion-solar-mass black holes at redshifts of six and higher. In particular, as a result of the reduced vortical flow, the growth of the black holes is expected to be more rapid at later times as compared to the standard scenario.Physical Review D 07/2013; 88(8):083520. DOI:10.1103/PhysRevD.88.083520 · 4.86 Impact Factor