from 29 November 2022 to 2 December 2022
Hotel Intourist Kolomenskoye 4*
Europe/Moscow timezone
The conference is over! Thank you for participation!

On quasinormal modes in 4D black hole solutions in the model with anisotropic fluid

30 Nov 2022, 19:30
Petrovskiy 2 (Hotel Intourist Kolomenskoye 4*)

Petrovskiy 2

Hotel Intourist Kolomenskoye 4*

Oral talk Gravitation and cosmology Gravitation and Cosmology


Vladimir Ivashchuk (Center for Gravitation, VNIIMS)


We consider a family of 4-dimensional black hole solutions
governed by natural number $q= 1, 2, 3 , \dots$, which appear in the model
with anisotropic fluid and the equations of state: $p_r = -\rho (2q-1)^{-1}$,
$p_t = - p_r$, where $p_r$ and $p_t$ are pressures in radial and transverse
directions, respectively, and $\rho > 0$ is the density. These equations of state obey weak, strong and dominant energy conditions. For $q = 1$ the metric of the solution coincides with that of the Reissner-Nordstr\"om one. The global structure of solutions is outlined, giving rise to Carter-Penrose diagram of Reissner-Nordstr\"om or Schwarzschild types for odd $q = 2k + 1$ or even $q = 2k$, respectively. Certain physical parameters corresponding to BH solutions
(gravitational mass, PPN parameters, Hawking temperature and entropy)
are calculated. We obtain and analyse the quasinormal modes for a test massless scalar field in the eikonal approximation. For limiting case $q = + \infty$, they coincide with the well-known results for the Schwarzschild solution. We show that the Hod conjecture which connect the Hawking temperature and the damping rate is obeyed for all $q \geq 2$ and all (allowed) values of parameters.

Primary authors

Dr. Sergei Bolokhov (Peoples' Friendship University of Russia (RUDN University)) Vladimir Ivashchuk (Center for Gravitation, VNIIMS)

Presentation Materials

Your browser is out of date!

Update your browser to view this website correctly. Update my browser now