Physics
Scientific paper
Apr 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997apj...479..164d&link_type=abstract
Astrophysical Journal v.479, p.164
Physics
25
Black Hole Physics, Celestial Mechanics, Stellar Dynamics, Galaxies: Nuclei, Hydrodynamics, Relativity
Scientific paper
The tidal interaction of n = 1.5 polytropic stars with a massive rotating black hole is studied numerically. The general relativistic tidal potential for the Kerr metric is used to evaluate tidal forces exerted on a star. The hydrodynamic response of a star to these forces is treated in the Newtonian approximation using a three-dimensional, Eulerian, PPM hydrodynamical code. We compute the energy, Delta E, and angular momentum, Delta L, transferred into a star and the mass, Delta M, lost by the star during the interaction. The quantities Delta E, Delta L, and Delta M depend on the stellar orbit, stellar structure, and the black hole's mass and angular momentum in a complicated way. We show that the dependence can be factorized by introducing a single dimensionless parameter C hat proportional to the integral of the square of the trace of the tidal tensor along the stellar trajectory. The energy and angular momentum transfer, and the mass loss as functions of C hat are found in hydrodynamical simulations. Analytical approximations to Delta E(C hat ) and Delta M(C hat ) are constructed. The value of C hat does not depend on the stellar structure. It is a universal function on the parameters of the orbit and can tabulated once and for all. Tables of C hat are presented. The results of this paper allow one to easily determine the outcome of tidal interaction for every possible combination of the input parameters. We find that the final energy of a star or a stellar remnant (if mass is lost) and its internal angular momentum as well depend most strongly on the angle between the initial orbital angular momentum and the angular momentum of the black hole.
Diener Peter
Frolov Valeri P.
Khokhlov Alexei M.
Novikov Igor D.
Pethick Christopher J.
No associations
LandOfFree
Relativistic Tidal Interaction of Stars with a Rotating Black Hole does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relativistic Tidal Interaction of Stars with a Rotating Black Hole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic Tidal Interaction of Stars with a Rotating Black Hole will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1316657