40 research outputs found
Inflationary Attractor in Braneworld Scenario
We demonstrate the attractor behavior of inflation driven by a scalar field
or a tachyon field in the context of recently proposed four-dimensional
effective gravity induced on the world-volume of a three-brane in
five-dimensional Einstein gravity, and we obtain a set of exact inflationary
solutions. Phase portraits indicate that an initial kinetic term decays rapidly
and it does not prevent the onset of inflation. The trajectories more rapidly
reach the slow-roll curve than in the standard cosmology.Comment: 7 pages, 8 figures, RevTeX, to appear in Phys. Rev. D69 (2004
The Primordial Perturbation Spectrum from Various Expanding and Contracting Phases
In this paper, focusing on the case of single scalar field, we discuss
various expanding and contracting phases generating primordial perturbations,
and study the relation between the primordial perturbation spectrum from these
phases and the parameter w of state equation in details. Furthermore, we offer
an interesting classification for the primordial perturbation spectrum from
various phases, which may have important implications for building an early
universe scenario embedded in possible high energy theories.Comment: 5 pages, 3 eps figure
Dynamics of Tachyon and Phantom Field beyond the Inverse Square Potentials
We investigate the cosmological evolution of the tachyon and phantom-tachyon
scalar field by considering the potential parameter () as a function of another potential parameter
(), which correspondingly extends the
analysis of the evolution of our universe from two-dimensional autonomous
dynamical system to the three-dimension. It allows us to investigate the more
general situation where the potential is not restricted to inverse square
potential and .One result is that, apart from the inverse square potential,
there are a large number of potentials which can give the scaling and dominant
solution when the function equals for one or some
values of as well as the parameter satisfies
condition Eq.(18) or Eq.(19). We also find that for a class of different
potentials the dynamics evolution of the universe are actually the same and
therefore undistinguishable.Comment: 8 pages, no figure, accepted by The European Physical Journal
C(2010), online first,
http://www.springerlink.com/content/323417h708gun5g8/?p=dd373adf23b84743b523a3fa249d51c7&pi=
Extremal black holes in the Ho\v{r}ava-Lifshitz gravity
We study the near-horizon geometry of extremal black holes in the
Ho\v{r}ava-Lifshitz gravity with a flow parameter . For ,
near-horizon geometry of extremal black holes are AdS with
different radii, depending on the (modified) Ho\v{r}ava-Lifshitz gravity. For
, the radius of is negative, which means
that the near-horizon geometry is ill-defined and the corresponding
Bekenstein-Hawking entropy is zero. We show explicitly that the entropy
function approach does not work for obtaining the Bekenstein-Hawking entropy of
extremal black holes.Comment: 18 pages, v2:some points on Lifshitz black holes claified, v3:
version to appear in EJP
Thermodynamics of Ho\v{r}ava-Lifshitz black holes
We study black holes in the Ho\v{r}ava-Lifshitz gravity with a parameter
. For , the black holes behave the Lifshitz black
holes with dynamical exponent , the black
holes behave the Reissner-Nordstr\"om type black hole in asymptotically flat
spacetimes. Hence, these all are quite different from the Schwarzschild-AdS
black hole of Einstein gravity. The temperature, mass, entropy, and heat
capacity are derived for investigating thermodynamic properties of these black
holes.Comment: 12 pages, 5 figures, v2:substantial improved version to make
connection to Lifshitz black holes and Reissner-Norstr\"om type black
holes,v3: version to appear in EPJ
The Black Hole and Cosmological Solutions in IR modified Horava Gravity
Recently Horava proposed a renormalizable gravity theory in four dimensions
which reduces to Einstein gravity with a non-vanishing cosmological constant in
IR but with improved UV behaviors. Here, I study an IR modification which
breaks "softly" the detailed balance condition in Horava model and allows the
asymptotically flat limit as well. I obtain the black hole and cosmological
solutions for "arbitrary" cosmological constant that represent the analogs of
the standard Schwartzschild-(A)dS solutions which can be asymptotically (A)dS
as well as flat and I discuss some thermodynamical properties. I also obtain
solutions for FRW metric with an arbitrary cosmological constant. I study its
implication to the dark energy and find that it seems to be consistent with
current observational data.Comment: Footnote 5 about the the very meaning of the horizons and Hawking
temperature is added; Accepted in JHE
Caustic avoidance in Horava-Lifshitz gravity
There are at least four versions of Horava-Lishitz gravity in the literature.
We consider the version without the detailed balance condition with the
projectability condition and address one aspect of the theory: avoidance of
caustics for constant time hypersurfaces. We show that there is no caustic with
plane symmetry in the absence of matter source if \lambda\ne 1. If \lambda=1 is
a stable IR fixed point of the renormalization group flow then \lambda is
expected to deviate from 1 near would-be caustics, where the extrinsic
curvature increases and high-energy corrections become important. Therefore,
the absence of caustics with \lambda\ne 1 implies that caustics cannot form
with this symmetry in the absence of matter source. We argue that inclusion of
matter source will not change the conclusion. We also argue that caustics with
codimension higher than one will not form because of repulsive gravity
generated by nonlinear higher curvature terms. These arguments support our
conjecture that there is no caustic for constant time hypersurfaces. Finally,
we discuss implications to the recently proposed scenario of ``dark matter as
integration constant''.Comment: 19 pages; extended to general z \geq 3, typos corrected (v2); version
accepted for publication in JCAP (v3
Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
The unifying approach to early-time and late-time universe based on phantom
cosmology is proposed. We consider gravity-scalar system which contains usual
potential and scalar coupling function in front of kinetic term. As a result,
the possibility of phantom-non-phantom transition appears in such a way that
universe could have effectively phantom equation of state at early time as well
as at late time. In fact, the oscillating universe may have several phantom and
non-phantom phases. As a second model we suggest generalized holographic dark
energy where infrared cutoff is identified with combination of FRW parameters:
Hubble constant, particle and future horizons, cosmological constant and
universe life-time (if finite). Depending on the specific choice of the model
the number of interesting effects occur: the possibility to solve the
coincidence problem, crossing of phantom divide and unification of early-time
inflationary and late-time accelerating phantom universe. The bound for
holographic entropy which decreases in phantom era is also discussed.Comment: 13 pages, clarifications/refs added, to match with published versio
A Note on Inflation with Tachyon Rolling on the Gauss-Bonnet Brane
In this paper we study the tachyonic inflation in brane world cosmology with
Gauss-Bonnet term in the bulk. We obtain the exact solution of slow roll
equations in case of exponential potential. We attempt to implement the
proposal of Lidsey and Nunes, astro-ph/0303168, for the tachyon condensate
rolling on the Gauss-Bonnet brane and discuss the difficulties associated with
the proposal.Comment: RevTex4, 5 pages, no figures, Minor clarifications added and
references updated, To appear in PR
S-matrix elements and off-shell tachyon action with non-abelian gauge symmetry
We propose that there is a unique expansion for the string theory S-matrix
elements of tachyons that corresponds to non-abelian tachyon action. For those
S-matrix elements which, in their expansion, there are the Feynman amplitudes
resulting from the non-abelian kinetic term, we give a prescription on how to
find the expansion. The gauge invariant action is an expanded action,
and the tachyon mass which appears as coefficient of many different
couplings, is arbitrary. We then analyze in details the S-matrix element of
four tachyons and the S-matrix element of two tachyons and two gauge fields, in
both bosonic and superstring theories, in favor of this proposal. In the
superstring theory, the leading terms of the non-abelian gauge invariant
couplings are in agreement with the symmetrised trace of the direct non-abelian
generalization of the tachyonic Born-Infeld action in which the tachyon
potential is consistent with . In the bosonic
theory, on the other hand, the leading terms are those appear in superstring
case as well as some other gauge invariant couplings which spoils the
symmetrised trace prescription. These latter terms are zero in the abelian
case.Comment: Latex, 27 pages, no figures,v4:change the introduction section, add
some notes to clarify the idea, add reference