Ref Bari
Advisor: Prof. Brendan Keith
✅ Unaligned Spins
✅ Inclined
✅ Dissipation
Keplerian Approximation
Simple!
Circular Orbits
Weak Field Limit
The basic physics of the binary black hole merger GW150914
Keplerian Approximation
No Precession
Only Circular Orbits
Weak Field Limit
The basic physics of the binary black hole merger GW150914 (LIGO & VIRGO Collaborations, 2016)
Limiting Case
Keplerian Approximation
Simple!
Circular Orbits
Weak Field Limit
Peters (1964)
Quadrupole Model
More Complex
Eccentric Orbits
Weak Field Limit
The basic physics of the binary black hole merger GW150914
Gravitational Radiation and the Motion of Two Point Masses
Any Mass Ratio!
Keplerian Approximation
Simple!
Circular Orbits
Weak Field Limit
Peters (1964)
Quadrupole Model
More Complex
Eccentric Orbits
Weak Field Limit
The basic physics of the binary black hole merger GW150914
Gravitational Radiation and the Motion of Two Point Masses (Peters, 1964)
Any Mass Ratio!
Keplerian Approximation
Simple!
Circular Orbits
Weak Field Limit
Peters (1964)
Quadrupole Model
The basic physics of the binary black hole merger GW150914
Gravitational Radiation and the Motion of Two Point Masses (Peters, 1964)
Keplerian Approximation
Peters (1964)
Quadrupole Model
Cutler & Poisson (1994)
Dissipation Model
Simple!
More Complex
Eccentric Orbits
Weak Field Limit
Circular Orbits
Weak Field Limit
Complicated!
Any eccentricity!
Any distance!
The basic physics of the binary black hole merger GW150914
Gravitational Radiation and the Motion of Two Point Masses
Gravitational radiation reaction for bound motion around a Schwarzschild black hole
Any Mass Ratio!
Only EMRIs
Keplerian Approximation
Peters (1964)
Quadrupole Model
Cutler & Poisson (1994)
Dissipation Model
Simple!
More Complex
Eccentric Orbits
Weak Field Limit
Circular Orbits
Weak Field Limit
Complicated!
Any eccentricity!
Any distance!
The basic physics of the binary black hole merger GW150914
Gravitational Radiation and the Motion of Two Point Masses
Gravitational radiation reaction for bound motion around a Schwarzschild black hole (Cutler et. al., 1994)
Simple!
Circular Orbits
Weak Field Limit
Only EMRIs
Keplerian Approximation
Peters (1964)
Quadrupole Model
Cutler & Poisson (1994)
Dissipation Model
Simple!
More Complex
Eccentric Orbits
Weak Field Limit
Circular Orbits
Weak Field Limit
Complicated!
Any eccentricity!
Any distance!
The basic physics of the binary black hole merger GW150914
Gravitational Radiation and the Motion of Two Point Masses
Gravitational radiation reaction for bound motion around a Schwarzschild black hole (Cutler et. al., 1994)
Simple!
Circular Orbits
Weak Field Limit
Only EMRIs
Keplerian Approximation
Peters (1964)
Quadrupole Model
Cutler & Poisson (1994)
Dissipation Model
The basic physics of the binary black hole merger GW150914
Gravitational Radiation and the Motion of Two Point Masses
Gravitational radiation reaction for bound motion around a Schwarzschild black hole (Cutler et. al., 1994)
Keplerian Approximation
Peters (1964)
Quadrupole Model
Cutler & Poisson (1994)
Dissipation Model
The basic physics of the binary black hole merger GW150914
Gravitational Radiation and the Motion of Two Point Masses
Simple!
More Complex
Eccentric Orbits
Circular Orbits
Weak Field Limit
Simple!
Circular Orbits
Weak Field Limit
More Complex
Eccentric Orbits
Weak Field Limit
More Complex
Eccentric Orbits
Weak Field Limit
Condition for Bound Orbits
Condition for Bound Orbits
Stable Circular Orbits
Unstable Circular Orbits
Eccentric Orbits
Stable Circular Orbits
Unstable Circular Orbits
Eccentric Orbits
Stable Circular Orbits
Unstable Circular Orbits
Eccentric Orbits
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Mission Statement
Introduction to GENERIC
G
E
N
E
R
I
C
Introduction to GENERIC
G
E
N
E
R
I
C
eneral
quation for
on
quilibrium
eversible
rreversible
oupling
Introduction to GENERIC
Introduction to GENERIC
"reversible"
"irreversible"
Introduction to GENERIC
"reversible"
"irreversible"
Introduction to GENERIC
"reversible"
"irreversible"
Introduction to GENERIC
Equilibrium
Inequilibrium
Introduction to GENERIC
Equilibrium
Inequilibrium
Introduction to GENERIC
Equilibrium
Inequilibrium
Conservative Dynamics
Introduction to GENERIC
Equilibrium
Inequilibrium
Dissipative Dynamics
Introduction to GENERIC
Equilibrium
Inequilibrium
Introduction to GENERIC
Equilibrium
Inequilibrium
Introduction to GENERIC
Equilibrium
Inequilibrium
Examples of GENERIC
Examples of GENERIC
State Variables
State Variables
Examples of GENERIC
State Variables
Energy
Energy
Examples of GENERIC
State Variables
Energy
Energy
Entropy
Energy
Energy
Entropy
Examples of GENERIC
State Variables
Energy
Energy
Entropy
Entropy
Examples of GENERIC
Examples of GENERIC
Examples of GENERIC
Examples of GENERIC
Examples of GENERIC
Examples of GENERIC
Examples of GENERIC
Examples of GENERIC
Examples of GENERIC
Examples of GENERIC
Examples of GENERIC