Abstract
The brightest fast blue optical transients (FBOTs) are mysterious extragalactic explosions that may represent a new astrophysical phenomenon1. Their fast time to maximum brightness of less than a week, decline over several months, and atypical optical spectra and evolution are difficult to explain within the context of the core collapse of massive stars, which are powered by radioactive decay of 56Ni and evolve more slowly2,3. AT2018cow (at a redshift of 0.014) is an extreme FBOT in terms of rapid evolution and high luminosity4,5,6,7. Here we present evidence for a high-amplitude quasiperiodic oscillation of AT2018cow’s soft X-rays with a frequency of 224 Hz (at a 3.7σ significance level or false alarm probability of 0.02%) and fractional root-mean-squared amplitude of >30%. This signal is found in the average power density spectrum taken over the entire 60-day outburst and suggests a highly persistent signal that lasts for a billion cycles. The high frequency (rapid timescale) of 224 Hz (4.4 ms) argues for a compact object in AT2018cow, which could be a neutron star or black hole with a mass less than 850 solar masses. If the quasiperiodic oscillation is equivalent to the spin period of a neutron star, we can set limits on the star’s magnetic field strength. Our work highlights a new way of using high-time-resolution X-ray observations to study FBOTs.
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Data availability
All the data presented here are public and can be found in the ESA/XMM-Newton, NASA/NICER and Neil Gehrels Swift archives at: https://heasarc.gsfc.nasa.gov/cgi-bin/W3Browse/w3browse.pl. The data can be retrieved by entering the source coordinates: 16 h 16 min 00.22 s, 22° 16′ 04.91″ (J2000.0 epoch). Any additional data are available from the corresponding author. Source data are provided with this paper.
Code availability
Python codes to download the data from HEASARC public archive, reduce it and reproduce the results in this paper are available at: https://github.com/pdheerajreddy/at2018cowQPO.git.
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Acknowledgements
This work is based on observations made with NICER, XMM-Newton and Swift. D.R.P was partly supported by NASA grant number 80NSSC21K0102. D.R.P thanks S. van Velzen for bringing AT2018cow to his attention and D. Buisson for testing the Python code. D.R.P would also like to thank G. Prigozhin for deep discussions relating to NICER noise sources.
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D.R.P. led the overall project and wrote the majority of the paper. W.C.G.H. and B.D.M. helped with the theoretical implications of a newborn neutron star. They also wrote part of the paper. W.A. provided an independent verification of the statistical significance of the QPO. R.R., D.A., D.C., A.F., P.B., F.T., J.H., M.N., J.F.S., T.S., E.M.C. and A.H. facilitated the discussion and contributed to the interpretation of the results. J.M. proposed the NICER observations. K.G. and Z.A. carried out the observations.
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Extended data
Extended Data Fig. 1 Average energy spectra of AT2018cow and the background.
The red and the black histograms show the source and the background spectra, respectively. The errorbars represent the 1σ uncertainties. Beyond 2.5 keV (dashed vertical line) the ratio of source to background counts (signal-to-noise) drops below 2. Because the sensitivity towards detecting a QPO depends on source2/(source+background)47, we chose to omit events above 2.5 keV.
Extended Data Fig. 2 Probability plot to visually assess whether the power values in the PDS continuum are χ2 distributed.
This is a qualitative assessment tool that tells us that if the data points lie on a straight line, as they do, they appear consistent with the theorized model, which in the present case is a χ2 distribution with 2 × 105 × 2048 degrees of freedom (see section Probability plot: a qualitative assessment of noise for more details).
Extended Data Fig. 3 White noise tests for soft X-ray PDS of AT2018cow.
(a): Comparing the empirical distribution function (EDF) of the values in the PDS continuum (blue histogram) with the cumulative distribution function of a χ2 distribution with 2 × 105 × 2048 degrees of freedom. (b): Comparison of the observed probability distribution function (PDF) with the expected PDF of a χ2 distribution with 2 × 105 × 2048 dof. (c): The distribution of the K-S statistic derived from EDFs sampled from a χ2 distribution with 2 × 105 × 2048 dof. (d): Same as (c) but using an Anderson-Darling test statistic. Both the test statistic values are consistent with a χ2 distribution and suggest that the PDS continuum is white (see section PDS continuum is consistent with White noise for more details).
Extended Data Fig. 4 XMM-Newton/EPIC-pn soft X-ray (0.25-2.5 keV) PDS of AT2018cow to assess noise continuum at low frequencies.
The PDS was derived by averaging 15 1024 s light curve segments sampled at 1/16 Hz. The frequency resolution is 1/2048 Hz. The error bars represent the 1-σ uncertainties. The red horizontal line is the Poisson noise level of 2. The 224 Hz QPO in NICER data is outside of this band pass, that is, beyond EPIC-pn’s Nyquist frequency.
Extended Data Fig. 5 The probability density function (PDF) (left) and the cumulative distribution function (CDF) (right) of the 105 simulated maximum Δχ2 values.
The vertical dashed red line marks the value of the Δχ2 of the observed 224 Hz QPO. The false alarm probability (1-CDF) vs Δχ2 is shown in the right panel of Fig. 1. The false alarm probability of seeing a spurious signal as strong as the one seen in data at 224 Hz is 0.0002 (1 in 5000).
Extended Data Fig. 6 NICER PDS of various types of noise.
They both track the particle background. (c) The average PDS of 0.0-0.2 keV events. These are the optical light leak events. (d) The average PDS derived from trumpet-rejected events. These are the off-axis events that track the cosmic X-ray and other sources in the FoV. In all cases, the frequency resolution, the number of spectra averaged and the frequency rebinning is same as the left panel of Fig. 1. The red shaded rectangle shows the location of the 224 Hz QPO. The dashed horizontal line indicates the expected Poisson noise level of 2. All the errorbars represent the 1-σ uncertainties.
Extended Data Fig. 7 NICER power spectra with one MPU removed at a time.
The QPO properties, that is, fractional rms strength, centroid and width are all same (within error bars) across all the above PDS. The error bars in each panel represent 1-σ uncertainties.
Extended Data Fig. 8 AT2018cow’s average X-ray power density spectrum with plausible GPS noise events removed.
This PDS is indistinguishable from Fig. 1 (see section The signal is not due to ‘GPS’ noise for more details).
Extended Data Fig. 9 QPO’s signal-to-noise ratio and signal-to-noise over average count rate vs accumulated exposure time.
The signal-to-noise ratio and the signal-to-noise ratio normalized by average count rate are shown by blue diamonds and red crosses, respectively. The data points are not independent (see sec. 2.4 for more details). See also Supplementary Video 1. Data available in supplementary files.
Extended Data Fig. 10 Average PDS of 3 AGN monitored by NICER during the same 2 month period as AT2018cow.
The AGN names are shown on each panel. The mean count rates (exposures) (from top to bottom) are 30.5 (15.6 ks), 3.9 (14.3 ks) and 1.2 (33.3 ks) counts/s, respectively. These PDS were extracted exactly the same way as the average PDS of AT2018cow in Fig. 1. The location of AT2018cow’s QPO is indicated by the red shaded area. The errorbars represent the 1-σ uncertainties.
Supplementary information
Supplementary Information
Supplementary Fig. 1 and Table 1.
Supplementary Video 1
The top panel of the movie shows the evolution of the average PDS and the gradual improvement in the QPO signal at 224 Hz with accumulated exposure. The lower panel shows the corresponding long-term light curve. The shaded red rectangle in the top panel shows the location of the 224 Hz QPO. This suggests that the QPO is long-lived and present in the majority of the observations.
Source data
Source Data Fig. 1
Numerical data giving frequency (HzHz), power and the error on the power.
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Pasham, D.R., Ho, W.C.G., Alston, W. et al. Evidence for a compact object in the aftermath of the extragalactic transient AT2018cow. Nat Astron 6, 249–258 (2022). https://doi.org/10.1038/s41550-021-01524-8
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DOI: https://doi.org/10.1038/s41550-021-01524-8