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Dynamical Evolution of Stars Near Massive Black Holes
Dynamical Evolution of StarsNear Massive Black Holes
Tal Alexander
Weizmann Institute of Science
Dynamical Evolution of Stars Near Massive Black Holes
Introduction
Introduction
I Evolution of isolated starsB Fixed by initial (internal) conditions (Mass, abundances, spin)
I Galactic center environmentB Central MBH (mass sink, tidal field)
B Extreme stellar densityB High velocity collisions
I Evolution of stars near a MBHB Modified by strong gravitational interactions (dynamical history)
B Stochastic evolution (different stars—different histories)
B Long-term evolution uncertain (complex stellar structure physics)
B Short-term energetic destruction (GW inspiral, tidal disruption)
I Stellar evolution coupled with dynamical evolution
Dynamical Evolution of Stars Near Massive Black Holes
Introduction
Introduction
I Evolution of isolated starsB Fixed by initial (internal) conditions (Mass, abundances, spin)
I Galactic center environmentB Central MBH (mass sink, tidal field)
B Extreme stellar densityB High velocity collisions
I Evolution of stars near a MBHB Modified by strong gravitational interactions (dynamical history)
B Stochastic evolution (different stars—different histories)
B Long-term evolution uncertain (complex stellar structure physics)
B Short-term energetic destruction (GW inspiral, tidal disruption)
I Stellar evolution coupled with dynamical evolution
Dynamical Evolution of Stars Near Massive Black Holes
Introduction
Introduction
I Evolution of isolated starsB Fixed by initial (internal) conditions (Mass, abundances, spin)
I Galactic center environmentB Central MBH (mass sink, tidal field)
B Extreme stellar densityB High velocity collisions
I Evolution of stars near a MBHB Modified by strong gravitational interactions (dynamical history)
B Stochastic evolution (different stars—different histories)
B Long-term evolution uncertain (complex stellar structure physics)
B Short-term energetic destruction (GW inspiral, tidal disruption)
I Stellar evolution coupled with dynamical evolution
Dynamical Evolution of Stars Near Massive Black Holes
Introduction
Introduction
I Evolution of isolated starsB Fixed by initial (internal) conditions (Mass, abundances, spin)
I Galactic center environmentB Central MBH (mass sink, tidal field)
B Extreme stellar densityB High velocity collisions
I Evolution of stars near a MBHB Modified by strong gravitational interactions (dynamical history)
B Stochastic evolution (different stars—different histories)
B Long-term evolution uncertain (complex stellar structure physics)
B Short-term energetic destruction (GW inspiral, tidal disruption)
I Stellar evolution coupled with dynamical evolution
Dynamical Evolution of Stars Near Massive Black Holes
Extreme stellar dynamics
Extreme stellar density
Genzel et al. 2003; Schödel et al 2006
ρGC(<1 mpc)∼108 M�pc−3∼109ρ� I tcoll < t?, vcoll >vesc
Dynamical Evolution of Stars Near Massive Black Holes
Extreme stellar dynamics
Star-star interactions
Collisional destruction Tidal spin-up
10
100
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
L K [
L Ko]
p [arcsec]
0.001
0.01
0.1
1
0.1Fr
actio
n of
bre
akup
rota
tion
r [pc]
TotalMS-MSMS-WDMS-NSMS-BH
Alexander 1999 (new data: Ott & Trippe 2005) Alexander & Kumar 2001
Dynamical Evolution of Stars Near Massive Black Holes
Strong star-MBH interactions
Strong star-MBH interactions
Direct infall Absorption / Annihilation
Feeding, Tidal disruption, detonation, flares Γinfall
Inspiral Meta-stable decay vs collisional ionization
Tidal scattering Deep inelastic scattering
3-body exchange Charge exchange
Alexander & Livio 2001; Alexander & Hopman 2003; Alexander & Morris 2003; Alexander & Livio 2004
Dynamical Evolution of Stars Near Massive Black Holes
Strong star-MBH interactions
Strong star-MBH interactions
Direct infall Absorption / AnnihilationΓinfall
Inspiral Meta-stable decay vs collisional ionization
Gravity waves, Tidal capture (“Squeezars”) Γinspiral∼10−2Γinfall
Tidal scattering Deep inelastic scattering
3-body exchange Charge exchange
Alexander & Livio 2001; Alexander & Hopman 2003; Alexander & Morris 2003; Alexander & Livio 2004
Dynamical Evolution of Stars Near Massive Black Holes
Strong star-MBH interactions
Strong star-MBH interactions
Direct infall Absorption / AnnihilationΓinfall
Inspiral Meta-stable decay vs collisional ionizationΓinspiral∼10−2Γinfall
Tidal scattering Deep inelastic scattering
“Weird” stars Γscatter(< r)∼Γinfall
h(r/q)δ − 1
i∼O(Γinfall )
3-body exchange Charge exchange
Alexander & Livio 2001; Alexander & Hopman 2003; Alexander & Morris 2003; Alexander & Livio 2004
Dynamical Evolution of Stars Near Massive Black Holes
Strong star-MBH interactions
Strong star-MBH interactions
Direct infall Absorption / AnnihilationΓinfall
Inspiral Meta-stable decay vs collisional ionizationΓinspiral∼10−2Γinfall
Tidal scattering Deep inelastic scatteringΓscatter(< r)∼Γinfall
h(r/q)δ − 1
i∼O(Γinfall )
3-body exchange Charge exchange
Orbital capture
Σ'»
1+A2M?(m+M•)
mM•V 2
–| {z }
Grav. focusing
B„
M•+M?
m+M•+M?
«2πa2
| {z }Capture radius
"„M?
M•
«7/4 „m+M•
m+M?
«1/4#
| {z }Phase space volume
Alexander & Livio 2001; Alexander & Hopman 2003; Alexander & Morris 2003; Alexander & Livio 2004
Dynamical Evolution of Stars Near Massive Black Holes
Strong star-MBH interactions
Loss-cone replenishment
Jlc /Jc
Kick regime
Diffusion regime(small r, high E)
(large r, low E)
Change per period
ScattererHills 1975Frank & Rees 1977Lightman & Shapiro 1977Cohn & Kulsrud 1978Shapiro & Marchant 1978
• 2-body relaxation Γ∼ n?/ log(Jc/Jlc)trelax
B Slow diffusion into the loss-cone
• Is faster relaxation possible?B Non-spherical potentials Magorrian & Tremaine 1999
B Chaotic orbits Norman & Silk 1983Gerhard & Binney 1985Merritt & Poon 2004
Dynamical Evolution of Stars Near Massive Black Holes
Beyond 2-body stellar relaxation
Resonant relaxation
Stationary ellipses in point mass potential
Planar rosettes inspherical potential
Effect on perturbed starPerturbing stars
Scalar resonant relaxation
Vector resonant relaxation
Rauch & Tremaine 1996
Dynamical Evolution of Stars Near Massive Black Holes
Beyond 2-body stellar relaxation
Resonant relaxation near the Galactic black hole
10−3 10−2 10−1 1a (pc)
101
102
103
104
t (M
yr)
TNR
T_ s
RR TvRR
Star disks
S- stars
GW sources
Relaxed giants
Hopman & Alexander 2006
Dynamical Evolution of Stars Near Massive Black Holes
Beyond 2-body stellar relaxation
Accelerated relaxation by massive perturbers
Large-angle deflection: v2 ∼ 2GM/rc Obs. MPs in central 100 pc
Deflection rate: Γ∼nvr2c ∼nM2/v3 ∼ 108 stars of 1 M�
(Zhao, Haehnelt & Rees 2002) ∼ 102 MPs of 103−5 M�Example:`nM2´
GMC∼3×103 `
nM2´?
Perets, Hopman & Alexander 2006
GMC
cluster
Massive perturbersaccelerate relaxation inthe Galactic Center andplausibly in late-typegalaxies generally.
Dynamical Evolution of Stars Near Massive Black Holes
Beyond 2-body stellar relaxation
Massive perturbers in the Galaxy
0.001 0.004 0.01 0.04 0.1 0.4
0.1
1
10
Semi Major Axis (pc)
No. o
f MS
B−St
ars
GMC1
GMC2Clusters
Stars
Observed
First results:
• Exchange capture ofyoung stars near SgrA?
(Gould & Quillen 2003)
• Steady supply of high-v stars
B Tens of v >500 km/s, 3-5 M�stars, tens of kpc from GC
• Rapid binary MBH mergers
B 2×106 M� + 2×106 M�merger in Galactic Centerin <109 yr
Perets, Hopman & Alexander 2006, in prep.
Dynamical Evolution of Stars Near Massive Black Holes
Summary
Summary
I Stellar evolution near a MBH is an interplay of
B Initial conditionsB Dynamical history
I A high density cusp near a MBH
B Frequent star-star interactionsB Large reservoir for star-MBH interactions
I Fast relaxation is key to star-MBH interactions
B Resonant relaxation near MBHB Massive perturbers far from MBH
Dynamical Evolution of Stars Near Massive Black Holes
Summary
Accelerated binary MBH merger
0 1 2 3 4 5 60.001
0.01
0.1
1
Time (108 yrs)
Sem
i Maj
or A
xis
(pc)
10−5 10−4 10−3 10−2 10−1 100104
106
108
1010
1012
1014
Semi Major Axis (pc)Co
ales
cenc
e Ti
me
(yea
rs) GW
Scattering
Perets, Hopman & Alexander 2006