arXiv subjects

Nissim Kanekar

Publications and source records attributed to Nissim Kanekar.

99 records · Page 6Linked to original sources

arXiv2001

Recycling the universe using scalar fields

We examine the behaviour of a closed oscillating universe filled with a homogeneous scalar field and find that, contrary to naive expectations, such a universe expands to larger volumes during successive expansion epochs. This intriguing behaviour introduces an arrow of time in a system which is time-reversible. The increase in the maximum size of the universe is closely related to the work done on/by the scalar field during one complete oscillatory cycle which, in turn, is related to the asymmetry in the scalar field equation of state during expansion and collapse. Our analysis shows that scalar fields with polynomial potentials $V(ϕ) = λϕ^q$, $q > 1$ lead to a growing oscillation amplitude for the universe: the increase in amplitude between successive oscillations is more significant for smaller values of $q$. Such behaviour allows for the effective recycling of the universe. A recycled universe can be quite old and can resolve the flatness problem. These results have strong bearing on cosmological models in which the role of dark matter is played by a scalar field. They are also relevant for chaotic inflationary models of the early universe since they demonstrate that, even if the universe fails to inflate the first time around, it will eventually do so during future oscillatory cycles. Thus, the space of initial conditions favourable for chaotic inflation increases significantly.

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arXiv2001

HI 21cm absorption in low z damped lyman-alpha systems

We report Giant Metrewave Radio Telescope (GMRT) 21cm observations of two confirmed and one candidate low redshift damped Lyman-alpha systems (DLAS). HI absorption was detected in the two confirmed systems, at z=0.2378 and z=0.5247, with spin temperatures (Ts) of 2050 +- 200 K and 330 +- 70 K respectively. The non-detection of absorption in the third (candidate) system places an upper limit on its optical depth, which in turn implies a 3sigma lower limit of 850 K on its spin temperature. Ground based K-band imaging observations (Turnshek et al. 2000) have identified the low Ts absorber with a spiral galaxy while the high Ts system appears to be an LSB galaxy. This continues the trend noted earlier by Chengalur and Kanekar (2000) of low spin temperatures for DLAS associated with spiral galaxies and high spin temperatures for those with no such association. Combining these new results with 21cm observations from the published literature, we find that (1)The 21 cm equivalent width (EW21) of DLAS increases with increasing column density (NHI). Further, absorbers associated with spiral galaxies have systematically higher EW21 at the same NHI than DLAS with no such association, (2)DLAS at high redshift (z > 2) have small velocity spreads (DeltaV), while, at low redshift (z < 2), both large and small DeltaV are observed. These trends are in qualitative agreement with hierarchical models of galaxy formation.

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arXiv2000

ATCA search for 21 cm emission from a candidate damped Ly-$α$ absorber at z = 0.101

We report a deep search for 21 cm emission/absorption from the $z \sim 0.101$ candidate damped Lyman-$α$ system towards PKS 0439-433, using the Australia Telescope Compact Array (ATCA). The spectrum shows a weak absorption feature --- at the $3.3 σ$ level --- which yields a lower limit of 730 K on the spin temperature of the system. No HI emission was detected: the $3σ$ upper limit on the HI mass of the absorber is $2.25 \times 10^9 M_{\odot}$, for a velocity spread of $\sim 70$ km s$^{-1}$. The low HI mass and the high spin temperature seem to rule out the possibility that the absorber is a large gas-rich spiral galaxy.

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arXiv2000

Implications of 21cm observations for damped Ly-$α$ systems

We present Giant Metrewave Radio Telescope HI 21cm absorption observations, of candidate and confirmed damped Lyman-$α$ systems (DLAS). The derived spin temperatures (T_s) are in all cases $\sim 1000$ K or higher. We have also collated from the literature a list of DLAS for which 21cm observations exist, and discuss their implications for the nature of the absorbers. A cross-comparison of the 21cm profiles with low ionization metal profiles shows that the 21cm absorption coincides in velocity with the deepest metal line feature. This is consistent with models in which the deep metal line features arise from discrete clouds but not with models where the deepest features are the result of velocity crowding. We also find that the typical derived spin temperatures of DLAS are considerably higher than those in the Galaxy or nearby spirals. The only exceptions are DLAS which are known to be associated with the disks of spirals; these do, in fact, show low spin temperatures. In a multi-phase medium,the derived T_s is a weighted average of the temperatures of the individual phases. High derived T_s values are hence to be expected from small, low metallicity objects, since these objects should have a lower fraction of the cold phase in their ISM as compared to large galaxies. The high T_s in DLAS is hence consistent with their observed low metallicities as well as with recent observations that DLAS are also associated with dwarf/LSB galaxies. Finally, we suggest that the following trend may be identified: at low redshift, damped absorption arises from a range of systems, including spiral galaxy disks, while, at high redshift, absorption occurs predominantly in smaller systems. (Abridged)

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arXiv2000

Nonlinear density evolution from an improved spherical collapse model

We investigate the evolution of non-linear density perturbations by taking into account the effects of deviations from spherical symmetry of a system. Starting from the standard spherical top hat model in which these effects are ignored, we introduce a physically motivated closure condition which specifies the dependence of the additional terms on the density contrast, $δ$. The modified equation can be used to model the behaviour of an overdense region over a sufficiently large range of $δ$. The key new idea is a Taylor series expansion in ($1/δ$) to model the non-linear epoch. We show that the modified equations quite generically lead to the formation of stable structures in which the gravitational collapse is halted at around the virial radius. The analysis also allows us to connect up the behaviour of individual overdense regions with the non-linear scaling relations satisfied by the two point correlation function.

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arXiv2000

A critique of scaling behaviour in non-linear structure formation scenarios

Moments of the BBGKY equations for spatial correlation functions of cosmological density perturbations are used to obtain a differential equation for the evolution of the dimensionless function, $h = - ({v/{\dot{a}x}})$, where $v$ is the mean relative pair velocity. The BBGKY equations are closed using a hierarchical scaling ansatz for the 3-point correlation function. Scale-invariant solutions derived earlier by Davis and Peebles are then used in the non-linear regime, along with the generalised stable clustering hypothesis ($h \to $ const.), to obtain an expression for the asymptotic value of $h$, in terms of the power law index of clustering, $γ$,and the tangential and radial velocity dispersions. The Davis-Peebles solution is found to require that tangential dispersions are larger than radial ones, in the non-linear regime; this can be understood on physical grounds. Finally, stability analysis of the solution demonstrates that the allowed asymptotic values of $h$, consistent with the stable clustering hypothesis, lie in the range $0 \leq h \leq 1/2$. Thus, if the Davis-Peebles scale-invariant solution (and the hierarchical model for the 3-pt function) is correct, the standard stable clustering picture ($h \to 1$ as $\barξ\to \infty$) is not allowed in the non-linear regime of structure formation.

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arXiv1999

Gravitational clustering in a D-dimensional Universe

We consider the problem of gravitational clustering in a D-dimensional expanding Universe and derive scaling relations connecting the exact mean two-point correlation function with the linear mean correlation function, in the quasi-linear and non-linear regimes, using the standard paradigms of scale-invariant radial collapse and stable clustering. We show that the existence of scaling laws is a generic feature of gravitational clustering in an expanding background, in all dimensions except D=2 and comment on the special nature of the 2-dimensional case. The D-dimensional scaling laws derived here reduce, in the 3-dimensional case, to scaling relations obtained earlier from N-body simulations. Finally, we consider the case of clustering of 2-dimensional particles in a 2-D expanding background, governed by a force -GM/R, and show that the correlation function does not grow (to first order) until much after the recollapse of any shell.

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arXiv1998

GMRT Observations of Low z Damped Lyman-alpha Absorbers

We present Giant Metrewave Radio Telescope (GMRT) observations of redshifted HI 21cm absorption in two low redshift (z=0.2212, z=0.0912) damped Lyman-alpha systems seen towards the gigahertz peaked source OI 363 (z_em = 0.630). The object at z=0.0912 is the lowest redshift damped Lyman-alpha system known to date. Ground based imaging (Rao & Turnshek, 1998) shows that at neither redshift is there a large spiral galaxy at low impact parameter to the line of sight to OI 363, in contradiction with the suggestion that these systems are large proto-disks. Since OI 363 is a highly compact, core dominated source, the covering factor of the HI gas is likely to be unity. Nonetheless, the spin temperatures derived from the 21cm optical depth (and using the N_HI measured from HST spectra, Rao & Turnshek, 1998) are high, viz. 1120 +/- 200 K and 825 +/- 110 K for the high and low redshift systems respectively. These values are considerably higher than typical values (100 - 200 K) measured in our Galaxy and Andromeda and are, in fact, similar to those obtained in high redshift damped Lyman-alpha systems. Our observations hence suggest that evolutionary effects may not be crucial in understanding the difference in derived spin temperature values between local spiral disks and high redshift damped Lyman-alpha systems.

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arXiv1997

ORT observations of the damped Lyman alpha system towards PKS 0201+113

We report a deep radio search with the Ooty Radio Telescope (ORT) for the redshifted 21 cm absorption line from the damped Lyman alpha system seen at redshift 3.388 against the quasar PKS 0201+113. This is currently the most distant system for which a detection of 21 cm absorption has been claimed. The present observations have a sensitivity comparable to the earlier ones and detect no statistically significant absorption. We use the non-detection to place an upper limit of ~ 0.011 on the optical depth of the damped Lyman alpha absorber. This corresponds to a lower limit of ~ 5600 K to the spin temperature of the system. This is considerably higher than the previous upper limit of ~ 1380 K.

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