Topics

1.  Gravitational self-force and tidal effects in black hole dynamics (Adam Pound)

Adam Pound:

     i) Gravitational wave Astronomy, two body problem and self-force theory. 

     ii) Black hole perturbation theory

     iii) How to deal with particles and punctures.

     iv) Orbital dynamics in Kerr 

     v) Multiscale analysis and waveforms.

 Link to Mathematica notebook: Mathematica Notebook (requires BHPT toolkit + xAct package)

2.  Perturbation Theory and Primodial Black Holes (L. Sriramkumar and Cristiano Germani)

 L Sriramkumar:

     i) Need for inflation 

     ii) Driving inflation with scalar fields

     iii) Cosmological perturbation theory

     iv) Generation of perturbations during inflation and power spectra in the slow roll approximation 

     v) Scalar power spectra in models involving a brief phase of ultra slow roll

          Cristiano Germani:

              i) Introduction of gravitational collapse in an expanding Universe 

               ii) Analytical threshold for black hole formation 

               iii) The statistics of high peaks and their sphericity (Gaussian case) 

               iv) The statistics of compaction function: Primordial black holes abundance

               v) The cases of broad and narrow power spectrums: analytical approximations

3. Observational aspects of black holes and gravitational waves, including experimental tests of GR – I (Sumanta Chakraborty and Shasvath Kapadia)

        Sumanta Chakraborty

i) Far from horizon (perihelion precession, bending of light, Shapiro time delay, Gravity Probe B) 

ii) On the way to the horizon (ISCO, Photon sphere, BH shadow and QNMs) 

iii) On the horizon (BHs, ECOs and perturbation theory) 

iv) Moving away but looking closer (Tidal Love number and tidal heating) 

v) Where everything meets (Environments and how they can be the test of everything)

 4. Observational aspects of black holes and gravitational waves, including experimental tests of GR – II (Sumanta Chakraborty and Shasvath Kapadia) 

 5. Numerical Relativity (Prayush Kumar) 

 6. Numerical relativity in gravitational collapse (Suprit Singh)