Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Luminosity correlations for gamma-ray bursts and implications for their
  prompt and afterglow emission mechanisms   We present the relation between the ($z-$ and $k-$corrected) spectral lags,
$\tau$, for the standard Swift energy bands 50-100 keV and 100-200 keV and the
peak isotropic luminosity, $L_{\mathrm{iso}}$ (a relation reported first by
Norris et al.), for a subset of 12 long Swift GRBs taken from a recent study of
this relation by Ukwatta et al. The chosen GRBs are also a subset of the
Dainotti et al. sample, a set of Swift GRBs of known redshift, employed in
establishing a relation between the (GRB frame) luminosity, $L_X$, of the
shallow (or constant) flux portion of the typical XRT GRB-afterglow light curve
and the (GRB frame) time of transition to the normal decay rate,
$T_{\mathrm{brk}}$. We also present the $L_X-T_{\mathrm{brk}}$ relation using
only the bursts common in the two samples. The two relations exhibit a
significant degree of correlation ($\rho = -0.65$ for the
$L_{\mathrm{iso}}-\tau$ and $\rho = -0.88$ for the $L_{X} - T_{\mathrm{brk}}$
relation) and have surprisingly similar best-fit power law indices ($-1.19 \pm
0.17$ for $L_{\mathrm{iso}}-\tau$ and $-1.10 \pm 0.03$ for $L_{X} -
T_{\mathrm{brk}}$). Even more surprisingly, we noted that although $\tau$ and
$T_{\mathrm{brk}}$ represent different GRB time variables, it appears that the
first relation ($L_{\mathrm{iso}}-\tau$) extrapolates into the second one for
timescales $\tau \simeq T_{\mathrm{brk}}$. This fact suggests that these two
relations have a common origin, which we conjecture to be kinematic. This
relation adds to the recently discovered relations between properties of the
prompt and afterglow GRB phases, indicating a much more intimate relation
between these two phases than hitherto considered.

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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th