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Fundamental scaling relationships revealed in the optical light curves of tidal disruption events

Lookup NU author(s): Dr Adam IngramORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

We present fundamental scaling relationships between properties of the optical/UV light curves of tidal disruption events (TDEs) and the mass of the black hole that disrupted the star. We have uncovered these relations from the late-time emission of TDEs. Using a sample of 63 optically selected TDEs, the latest catalogue to date, we observed flattening of the early-time emission into a near-constant late-time plateau for at least two-thirds of our sources. Compared to other properties of the TDE light curves (e.g. peak luminosity or decay rate) the plateau luminosity shows the tightest correlation with the total mass of host galaxy (p-value of 2 × 10^−6, with a residual scatter of 0.3 dex). Physically this plateau stems from the presence of an accretion flow. We demonstrate theoretically and numerically that the amplitude of this plateau emission is strongly correlated with black hole mass. By simulating a large population (N = 106) of TDEs, we determine a plateau luminosity-black hole mass scaling relationship well described by log10 (M•/M) = 1.50 log10 Lplat/1043 erg s−1+ 9.0 (here Lplat is measured at 6 × 10^14 Hz in the rest frame). The observed plateau luminosities of TDEs and black hole masses in our large sample are in excellent agreement with this simulation. Using the black hole mass predicted from the observed TDE plateau luminosity, we reproduce the well-known scaling relations between black hole mass and galaxy velocity dispersion. The large black hole masses of 10 of the TDEs in our sample allow us to provide constraints on their black hole spins, favouring rapidly rotating black holes. Finally, we also discover two significant correlations between early time properties of optical TDE light curves (the g-band peak luminosity and radiated energy) and the TDEs black hole mass.


Publication metadata

Author(s): Mummery A, van Velzen S, Nathan E, Ingram A, Hammerstein E, Fraser-Taliente L, Balbus S

Publication type: Article

Publication status: Published

Journal: Monthly Notices of the Royal Astronomical Society

Year: 2024

Volume: 527

Issue: 2

Pages: 2452-2489

Print publication date: 01/01/2024

Online publication date: 05/10/2024

Acceptance date: 28/09/2024

Date deposited: 06/12/2024

ISSN (print): 0035-8711

ISSN (electronic): 1365-2966

Publisher: Oxford University Press

URL: https://doi.org/10.1093/mnras/stad3001

DOI: 10.1093/mnras/stad3001

Data Access Statement: All TDE light curves are available in the following repository https://github.com/sjoertvv/manyTDE, including the inferred model parameters in Table E1.


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Funding

Funder referenceFunder name
Hintze Family Charitable Trust
NASA theory grant 80NSSC20K0540
NASA: award number 80GSFC21M0002
Leverhulme Trust International Professorship grant [number LIP-202-014]
STFC grant ST/S000488/1
The Royal Society

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