Jean-Pierre LASOTA (IAP)
Relativistic Astrophysics
7 lectures: 5, 6,
9, 10, 11, 12, 13 October 2006
The draft
lecture notes of Lectures 2 – 6 will be soon avalaible
on this page
1.
Relativistic
Astrophysics: general overview
2. Generalities
1.
General structure, Boyer-Lindquist coordinates
1.1.
Privileged observers
1.2.
The ergosphere
1.3.
Orbits
1.4.
“Negative energy” orbits
1.5.
The Penrose process
1.6.
Epicyclic frequencies
4 & 5. Accretion flows in the Kerr spacetime
1.1
Kinematic
relations
1.2
Description of matter
1. Slim
disc equations in Kerr geometry
1.1. Mass
conservation equation
1.2. Equation
of angular momentum conservation
1.3. Equation
of momentum conservation
1.4. Equation
of energy conservation
1.5. Equation
of vertical balance of forces
1.6. Viscosity
prescription
1.7. Thermodynamical relations
2. Thin
disc structure
2.1. Radiative structure
2.2. The thermal
instability
3. Black
holes and advection of energy
3.1. Simple
``local" ADAF solutions
4. The
sonic point and the boundary conditions
4.1. The
``no-torque condition"
4.2. Critical
points
4.3. Numerical
solutions
6. Disc oscillations
1)
The inspiration: asteroseismology
(non-radial stellar pulsations)
2)
Relativistic discoseismology
a.
Disc pulsations
b.
Mode classification
3)
Orbital resonances in a strong gravitational field
a.
The 3:2 parametric resonance
b.
The forced 3:1 and 2:1 resonances
c.
Keplerian resonances
7. Spin and Jets