An analytical, fully relativistic framework for tidal disruption event streams in Schwarzschild geometry
نویسندگان
چکیده
We present an analytic and fully relativistic framework for studying the self-intersection of tidal disruption event (TDE) streams, restricting ourselves to Schwarzschild spacetime. By taking advantage closed-form solution geodesic equations in metric, we calculate properties without numerically evaluating or making any post-Newtonian approximations. Our treatment also facilitates geometric definitions orbital semi-major axis eccentricity, as opposed Newtonian formulas which lead unphysical results highly-relativistic orbits. Combined with assumptions about energy dissipation during shock, our enables calculation quantities such fraction material unbound characteristic axes eccentricities remains orbit after collision. As example, grids post-intersection stellar supermassive black hole (SMBH) masses disruptions main sequence stars, identifying regions where no is ejected self intersection (e.g. SMBH mass $\lesssim 5\times10^6\, {\rm M_\odot}$ $1\,{\rm stars disrupted at radius), potentially explaining TDEs observed by SGR/eROSITA are visible X-rays but not optical wavelengths. identify parameters accretion flow has low eccentricity ($e\lesssim0.6$), find that luminosity generated shocks only agrees trends relationship between light curve decay timescales peak luminosities over a narrow range masses.
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 2022
ISSN: ['0035-8711', '1365-8711', '1365-2966']
DOI: https://doi.org/10.1093/mnras/stac290