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srodney added color sec. minor rearrangements
almost 8 years ago
Commit id: 1ddbffa77b521c8be848131864d08b8ff8111d05
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diff --git a/AstrophysicalModels.tex b/AstrophysicalModels.tex
index 9bc4ada..7625572 100644
--- a/AstrophysicalModels.tex
+++ b/AstrophysicalModels.tex
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separated by $\sim$120 days in the rest frame (240 days in the
observer frame). \label{itm:TwoEvents}}
\item{\label{obs:timedelay} Lensing models predict a time delay between the two host images
of
$\pm50$ $\pm60$ days or less in the observer frame.}
\item{\label{obs:timescale} Each event lasted for $<$15 rest-frame days\label{itm:FastLC}}
\item{\label{obs:luminosity} After correcting for lensing magnification of $\mu\sim30$, both
events reach a peak luminosity of $\sim10^{41}$ ergs s$^{-1}$
...
that the observed transient events must be coincident both in space
and time. All lensing models evaluated here agree that spatial
coincidence in the source plane is entirely plausible, but coincidence
in time is highly unlikely.
For %If the two observed transient events are actually two images of the
%same physical episode, appearing separately only because of
%gravitational lensing, then the model predictions for this
scenario to time delay
%should be
tenable, consistent with the observed 8 month separation between the
%January and August 2014 appearances. In fact, we find that
None of the lensing models predict an 8 month time delay between
appearances in image 11.1 and 11.2. This is represented in
Figure~\ref{fig:SpockDelayPredictions}, where we have plotted the
light curves for the two transient events, along with shaded bars
marking the time delay predictions of all models. The models are
broadly consistent with each other, predicting that the lensing time
delay between images 11.1 and 11.2 is on the order of $\pm$60 days,
far short of the 238 day lag that was observed between \spockone\ and
\spocktwo. To accept the single-explosion explanation of Scenario
\ref{case:timedelay}, we would have to assume that a large systematic
bias is similarly affecting all of the lens models. While we cannot
rule this out, it makes the single explosion model significantly less
tenable.
Under this scenario, the optical observations in January, 2014 and the
infrared observations in August, 2014 are from the same explosion. At
redshift $z=1$ these translate to rest-frame ultraviolet (UV) and
optical wavelengths, respectively, and in Figure \textcolor{red}{TBD}
we examine whether the observed colors in these bands are consistent
with the spectral energy distributions observed for known transients.
\todo{Line up the events at peak, measure colors, compare to SNe,
novae, kilonovae, .Ia, and fast optical transients}. We can not
compare the UV to optical colors, since that would require a
correction for differential magnification, and for this scenario we
have already assumed that the lens models are unreliable. \todo{Are
the colors viable?}
diff --git a/LensingModels.tex b/LensingModels.tex
index 9ea188d..179c542 100644
--- a/LensingModels.tex
+++ b/LensingModels.tex
...
as a leading image, and others have it as a trailing image. However,
the models do consistently predict that the separation in time between
those two images should be roughly in the range of 1 to 60 days.
If the two observed transient events are actually two images of the
same physical episode, appearing separately only because of
gravitational lensing, then the model predictions for this time delay
should be consistent with the observed 8 month separation between the
January and August 2014 appearances. In fact, we find that none of
the lensing models predict an 8 month time delay between appearances
in image 11.1 and 11.2. This is represented in
Figure~\ref{fig:SpockDelayPredictions}, where we have plotted the
light curves for the two transient events, along with shaded bars
demarcating the time delay predictions of all models. The models are
broadly consistent with each other, predicting that the lensing time
delay between images 11.1 and 11.2 is on the order of $\pm$50 days,
far short of the 238 day lag that was observed between \spockone\ and
\spocktwo. This strongly suggests that the two observed events are not
gravitational echoes of a single explosive transient episode, but
instead must have originated as two distinct physical events in the
source plane.
% We are left then with two possible scenarios: (a) the
% two events are not physically associated, in which case they may each
% be the result of a separate catastrophic explosion like a supernova or
% kilonova that would leave the progenitor system completely disrupted;
% or (b) the two events originated from the same astrophysical system,
% which must therefore be a source of recurrent explosive transient
% episodes. We evaluate physical systems that could match these two
% scenarios in the following sections.
%
diff --git a/LightCurves.tex b/LightCurves.tex
index 963cbc7..469e97d 100644
--- a/LightCurves.tex
+++ b/LightCurves.tex
...
%evaluate whether or how these sources might be spatially or temporally
%related in the source plane.
\subsection{Color Curves}
At redshift $z=1$ the observed optical and infrared bands translate to
rest-frame ultraviolet (UV) and optical wavelengths, respectively. To
derive rest-frame UV and optical colors from the observed photometry,
we start with the measured magnitude in a relatively blue band (F435W
and F606W for \spockone and F105W, F125W, F140W for \spocktwo). We
then subtract the coeval magnitude for a matched red band (F814W for
\spockone, F125W or F160W for \spocktwo), derived from the linear fits
to those bands. To adjust these to rest-frame filters, we apply K
corrections \citep[following][]{Hogg:2002}, which we compute by
defining a crude SED via linear interpolation between the observed
broad bands for each transient event at each epoch. For consistency
with past published results, we include in each K correction a
transformation from AB to Vega-based magnitudes. The resulting UV and
optical colors are plotted in Figure~\ref{fig:ColorCurves}. Both
\spockone and \spocktwo show little or no color variation over the
period where color information is available.
diff --git a/layout.md b/layout.md
index b42bac0..a055c6b 100644
--- a/layout.md
+++ b/layout.md
...
figures/spock_hostgalaxy_properties/spock_hostgalaxy_properties.png
LensingModels.tex
figures/composite_lens_model_contours/composite_lens_model_contours.png
figures/spock_predictions/spock_predictions.png
figures/peakluminosity_vs_declinetime/peakluminosity_vs_declinetime.png
AstrophysicalModels.tex
figures/spock_predictions/spock_predictions.png
Acknowledgments.tex