Theory of Black Holes

18 Apr 2024 (2h 00m)

Enrico Trincherini - Corso (attività didattica) - Mista

Intro. Globally hyperbolic spacetimes. Prompt null geodesics and focal points. The null Raychauduri equation.

02 Maggio 2024 (2h 00m)

Enrico Trincherini - Corso (attività didattica) - Mista

The null expansion of trapped surfaces. Penrose's singularity theorem. The cosmic censorship hypothesis. The black hole horizon and horizon generators. Hawking's area theorem.

09 Maggio 2024 (2h 00m)

Enrico Trincherini - Corso (attività didattica) - Mista

Black Holes No Hair theorems. Primary and secondary hair. Massless scalar and spin 1 test fields in a Schwarzschild background. The Bekenstein, Bocharova, Bronnikov, Melnikov black hole. Bekenstein's theorem. No scalar hair in shift symmetric theories. An exception: the scalar Gauss-Bonnet operator.

16 Maggio 2024 (2h 00m)

Enrico Trincherini - Corso (attività didattica) - Mista

Black Hole perturbation theory. Free real scalar field. Massless spin 1 field. Massless spin 2 filed. The Regge Wheeler gauge. The Regge Wheeler (odd sector) and Zerilli (even sector) equations. The isospectrality of the Schwarzschild black hole.

23 Maggio 2024 (2h 00m)

Enrico Trincherini - Corso (attività didattica) - Mista

Static solutions and BH response to external fields. The hypergeometric equation for scalar perturbations. The vanishing of Love numbers in 4 dimensions. The ladder symmetries of Schwarzschild black holes. Non-static solutions: quasi normal modes. Boundary conditions and spectrum.