School and Conference on Modern Mathematical Physics

18 - 23 September 2017, Belgrade, Serbia


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Eduardo Guendelman

Interacting diffusive unified dark energy and dark matter from scalar fields

Here we generalize ideas of unified Dark Matter Dark Energy in the context of Two Measure Theories and of Dynamical spacetime Theories. In Two Measure Theories one uses metric independent volume elements and this allows to construct unified Dark Matter Dark Energy, where the cosmological constant appears as an integration constant associated to the equation of motion of the measure fields. The Dynamical space time Theories generalize the Two Measure Theories by introducing a vector field whose equation of motion guarantees the conservation of a certain Energy Momentum tensor, which may be related, but in general is not the same as the gravitational Energy Momentum tensor. We propose two formulations of this idea: I - by demanding that this vector field be the gradient of a scalar, II - by considering the dynamical space field appearing in another part of the action. Then the Dynamical spacetime Theory becomes a theory of Diffusive Unified Dark Energy and Dark Matter. These generalizations produce non-conserved energy momentum tensors instead of conserved energy momentum tensors which leads at the end to a formulation of interacting DE-DM dust models in the form of a diffusive type interacting Unified Dark Energy and Dark Matter scenario. We solved analytically the theories for perturbative solution and asymptotic solution, and we show that the Lambda-CDM is a fixed point of these theories at large times. Also a preliminary argument about the good behavior of the theory at the quantum level is proposed for both theories.


Institute of Physics Belgrade
(University of Belgrade)

Belgrade, Serbia


Mathematical Institute
(Serbian Academy of Sciences and Arts)

Belgrade, Serbia


Faculty of Mathematics
(University of Belgrade)

Belgrade, Serbia

E-mail: mphys9@ipb.ac.rs