Research Deep Dive · 04

Tidal Disruption Events

Once every 104–105 years, a star wanders too close to its galaxy's central black hole and is shredded. Half the stellar debris is flung away; half falls back and powers a luminous, evolving accretion disk that briefly turns a dormant SMBH into a transient.

Approach the SMBH
Act 01 · t < 0

The fatal orbit

Two-body relaxation in the dense nuclear star cluster of a galaxy occasionally scatters a star onto an orbit whose periastron lies inside the tidal radius of the central SMBH (typically rt ≈ 10–100 rg).

The star arrives essentially unbound — a nearly parabolic orbit — and is about to be subjected to differential gravitational forces strong enough to overcome its self-gravity.

SMBH mass: 105–108 M  |  Tidal radius: rt ≈ R(MBH/M)1/3
Act 02 · t ≈ 0

Spaghettification at periastron

At periastron the tidal force exceeds the star's self-gravity. The star is stretched into a long, thin debris stream — the textbook "spaghettification" — within a fraction of an orbital period.

Roughly half the debris becomes unbound and is launched on hyperbolic trajectories; the other half remains bound to the SMBH, with a spread in orbital energies determined by the depth of penetration into the tidal radius.

Penetration parameter: β = rt/rp  |  Survival: partial disruptions are common
Act 03 · weeks–months

Fallback & circularization

The most-bound debris returns to periastron first. The fallback rate famously scales as t−5/3, the iconic light-curve signature TDEs were predicted to show before any were observed.

How this stream circularizes into a coherent accretion disk — via stream–stream collisions, magnetic stresses, or general-relativistic apsidal precession — is one of the central open questions in TDE physics today.

Fallback law: Ṁ ∝ t−5/3  |  Circularization timescale: debated
Act 04 · months → year

The accretion disk lights up

Once a hot, geometrically thin accretion disk forms, the SMBH briefly transitions from quiescent to bright. The emission spans UV through optical — and in many TDEs, soft X-rays from the inner disk regions.

The fact that optical and X-ray TDEs differ systematically in their light curves, spectra, and host-galaxy demographics is still being worked out — possibly viewing-angle effects through a reprocessing layer, possibly genuinely different physical channels.

Peak Lbol: ~ 1044 erg/s  |  Bands: UV/optical (broad lines) + soft X-ray
Act 05 · rare events

Relativistic jets & outliers

A handful of TDEs (Swift J1644+57, AT2022cmc, …) have launched relativistic jets with luminosities exceeding 1047 erg/s — beamed emission visible to high redshift. They probe how rapidly an SMBH can be spun up and how robustly it can launch a Blandford–Znajek-style jet.

The full TDE population — including these outliers — is one of the best laboratories we have for measuring SMBH masses, spins, and demographics at the low-mass end where AGN surveys lose sensitivity.

Jet TDEs: < 1% of TDEs  |  Diagnostics for: MBH, a, accretion physics

Selected reading

My TDE papers on ADS
Harsh Kumar et al.
livefiltered on ADS
"Disruption" — all my TDE-related work
Harsh Kumar et al.
livebroader title filter on ADS
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