25 research outputs found
Initial directional singularity in inflationary models
In [1] a new cosmological model is proposed with no big bang singularity in
the past, though past geodesically incomplete. This model starts with an
inflationary era, follows with a stiff matter dominated period and evolves to
accelerated expansion in an asymptotically de Sitter regime in a realistic
fashion. The big bang singularity is replaced by a directional singularity.
This singularity cannot be reached by comoving observers, since it would take
them an infinite proper time lapse to go back to it. On the contrary, observers
with nonzero linear momentum have the singularity at finite proper time in
their past, though arbitrarily large. Hence, the time lapse from the initial
singularity can be as long as desired, even infinity, depending on the linear
momentum of the observer. This conclusion applies to similar inflationary
models. Due to the interest of these models, we address here the properties of
such singularities.Comment: RevTeX, 11 pages, typos correcte
Cosmological singularities in FLRW spacetimes
In this talk we review the appearance of new types of singularities (big rip,
sudden singularities...) in FLRW cosmological models that have arisen on
considering explanations for accelerated expansion of our universe.Comment: 3 pages, ws-procs975x65.cls to appear in Proceedings of 12th Marcel
Grossmann Meeting, Pari
A singularity-free space-time
We show that the solution published in Ref.1 is geodesically complete and
singularity-free. We also prove that the solution satisfies the stronger energy
and causality conditions, such as global hyperbolicity, causal symmetry and
causal stability. A detailed discussion about which assumptions in the
singularity theorems are not fulfilled is performed, and we show explicitly
that the solution is in accordance with those theorems. A brief discussion of
the results is given.Comment: Latex 2.09, 14 page
Strings at future singularities
We discuss the behaviour of strings propagating in spacetimes which allow
future singularities of either a sudden future or a Big-Rip type. We show that
in general the invariant string size remains finite at sudden future
singularities while it grows to infinity at a Big-Rip. This claim is based on
the discussion of both the tensile and null strings. In conclusion, strings may
survive a sudden future singularity, but not a Big-Rip where they are
infinitely stretched.Comment: REVTEX 4.0, 4 pages, no figures, references adde
Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities
We investigate de Sitter solutions in non-local gravity as well as in
non-local gravity with Lagrange constraint multiplier. We examine a condition
to avoid a ghost and discuss a screening scenario for a cosmological constant
in de Sitter solutions. Furthermore, we explicitly demonstrate that three types
of the finite-time future singularities can occur in non-local gravity and
explore their properties. In addition, we evaluate the effective equation of
state for the universe and show that the late-time accelerating universe may be
effectively the quintessence, cosmological constant or phantom-like phases. In
particular, it is found that there is a case in which a crossing of the phantom
divide from the non-phantom (quintessence) phase to the phantom one can be
realized when a finite-time future singularity occurs. Moreover, it is
demonstrated that the addition of an term can cure the finite-time future
singularities in non-local gravity. It is also suggested that in the framework
of non-local gravity, adding an term leads to possible unification of the
early-time inflation with the late-time cosmic acceleration.Comment: 42 pages, no figure, version accepted for publication in General
Relativity and Gravitatio
Finite-time future singularities in modified Gauss-Bonnet and gravity and singularity avoidance
We study all four types of finite-time future singularities emerging in
late-time accelerating (effective quintessence/phantom) era from
-gravity, where and are the Ricci scalar and the
Gauss-Bonnet invariant, respectively. As an explicit example of
-gravity, we also investigate modified Gauss-Bonnet gravity,
so-called -gravity. In particular, we reconstruct the -gravity and
-gravity models where accelerating cosmologies realizing the
finite-time future singularities emerge. Furthermore, we discuss a possible way
to cure the finite-time future singularities in -gravity and
-gravity by taking into account higher-order curvature
corrections. The example of non-singular realistic modified Gauss-Bonnet
gravity is presented. It turns out that adding such non-singular modified
gravity to singular Dark Energy makes the combined theory to be non-singular
one as well.Comment: 35 pages, no figure, published version, references adde
Reconstruction of the equation of state for the cyclic universes in homogeneous and isotropic cosmology
We study the cosmological evolutions of the equation of state (EoS) for the
universe in the homogeneous and isotropic
Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) space-time. In particular, we
reconstruct the cyclic universes by using the Weierstrass and Jacobian elliptic
functions. It is explicitly illustrated that in several models the universe
always stays in the non-phantom (quintessence) phase, whereas there also exist
models in which the crossing of the phantom divide can be realized in the
reconstructed cyclic universes.Comment: 29 pages, 8 figures, version accepted for publication in Central
European Journal of Physic