Caustic free completion of pressureless perfect fluid and k-essence - INSPIRE

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Caustic free completion of pressureless perfect fluid and k-essence

Eugeny Babichev
(
- Orsay, LPT and
- Paris, Inst. Astrophys.
)
,
Sabir Ramazanov
(
- GSSI, Aquila
)

Apr 11, 2017

18 pages

Published in:

JHEP 08 (2017) 040

Published: Aug 10, 2017

e-Print:

1704.03367 [hep-th]

DOI:

10.1007/JHEP08(2017)040

View in:

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Abstract: (Springer)

Both k-essence and the pressureless perfect fluid develop caustic singularities at finite time. We further explore the connection between the two and show that they belong to the same class of models, which admits the caustic free completion by means of the canonical complex scalar field. Specifically, the free massive/self-interacting complex scalar reproduces dynamics of pressureless perfect fluid/shift-symmetric k-essence under certain initial conditions in the limit of large mass/sharp self-interacting potential. We elucidate a mechanism of resolving caustic singularities in the complete picture. The collapse time is promoted to complex number. Hence, the singularity is not developed in real time. The same conclusion holds for a collection of collisionless particles modelled by means of the Schroedinger equation, or ultra-light axions (generically, coherent oscillations of bosons in the Bose-Einstein condensate state).

Note:

20 pages, 2 figures; clarifications and references added. Matches published version

Classical Theories of Gravity
Cosmology of Theories beyond the SM
Space-Time Symmetries
Spacetime Singularities
field theory: scalar
singularity
k-essence
fluid
Schroedinger equation
boundary condition

References(51)

Figures(3)

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