The Dark Energy Properties of the Dirac–Born–Infeld Action

Abstract

Introducing a new potential, we deduce a general Lagrangian for Dirac-BornInfeld (DBI) inflation, in which the determinant of the induced metric naturally includes the kinetic energy and the potential energy. In particular, the potential energy and kinetic energy can convert into each other at any same order, which is in agreement with the limit of classical physics. We also present a general sound speed in the evolutions of the universe, and the exact expressions of energy-momentum tensor, pressure and density. Furthermore, from the results we obtain the new equation of states. The analytic form of the action that is consistent with data turns out to be surprisingly simple and easy to categorize. Finally, we examine properties of the dark energy and introduce a novel mechanism for realizing either quintessence or phantom dark energy dominated phases within a string theoretical context.

Raychaudhuri Equation in K‐essence Geometry: Conditional Singular and Non‐Singular Cosmological Models

“…[42][43][44][45][46] Basically, this theory provides the field for inflation using the motion of the D-brane in the 6-dimensional compact submanifold of spacetime. [47] Dbranes, abbreviation for Dirichlet membrane, are a class of extended objects upon which open strings can end with Dirichlet boundary conditions. Moreover, the DBI-type action associated with a non-canonical kinetic term can produce inflation with steep potential instead of slow-roll inflation.…”

“…Moreover, the DBI-type action associated with a non-canonical kinetic term can produce inflation with steep potential instead of slow-roll inflation. [47] Chimento et. al.…”

Raychaudhuri equation in $k$-essence geometry: conditional singular and non-singular cosmological models

“…But the most promising gift given by the DBI-type model to cosmology is that it can explain the inflationary phenomenon based on string theory [42][43][44][45][46]. Basically, this theory provides the field for inflation using the motion of the D-brane in the 6-dimensional compact submanifold of spacetime [47]. D-branes, abbreviation for Dirichlet membrane, are a class of extended objects upon which open strings can end with Dirichlet boundary conditions.…”

“…D-branes, abbreviation for Dirichlet membrane, are a class of extended objects upon which open strings can end with Dirichlet boundary conditions. Moreover, the DBI-type action associated with a non-canonical kinetic term can produce inflation with steep potential instead of slow-roll inflation [47]. Chimento et.…”