Cours
In
the first lecture I will review the basics of the theory of
gravitational waves. Whenever possible, I will derive things from
scratch, but a previous exposure to General Relativity would be
beneficial.
In the second lecture I will review the methods to solve Einstein's
equations, either exactly or approximately, focusing on binary systems,
which are expected to be the main sources of gravitational waves for
existing and future detectors. I will then give examples of how the
detection of gravitational waves will permit testing gravity, cosmology
and astrophysics with unprecedented accuracy. |
Chapitres
- Lecture I : The basics
of gravitational-wave theory
- The Einstein equations
- Linearized Einstein
equations and gauge transformations
- Gravitational waves in
linearized gravity: the TT gauge and the quadrupole formula
- General definition of
gravitational waves: the geometric optics regime
- The stress-energy tensor
for gravitational waves
- A detector's response to
gravitational waves: geodesic deviation and Weyl scalars
- Lecture II :
Gravitational-wave physics and astrophysics with current and future
detectors
- A brief overview of
existing and future detectors of gravitational waves and their sources
- How to solve Einstein's
equations:
- Numerical relativity in
a nutshell: 3+1 split of spacetime, formulations of the Einstein
equations
- Analytic approximation
schemes: The Post-Newtonian expansion, the self-force formalism, the
effective one-body model
- Fundamental physics,
astrophysics and cosmology with gravitational-wave detectors: a few
examples
- Tests of gravity theories
- Tests of the nuclear
equation of state
- Measurements of the
Hubble constant and Dark Energy
- Tests of the nature of
black holes and the no-hair theorem
- Tests of scenarios for
the formation and evolution of massive black holes
|
|