Galactic Pure Lovelock Blackholes: Geometry, stability, and Hawking temperature

TL;DR

This paper models galactic black holes within pure Lovelock gravity across various dimensions, analyzing their geometric, stability, and thermodynamic properties, and exploring how galactic parameters influence observable features like quasinormal modes and Hawking temperature.

Contribution

First-time modeling of galactic black holes in pure Lovelock gravity with analysis of their geometric and thermodynamic properties across arbitrary dimensions.

Findings

Galactic parameters affect quasinormal modes and photon sphere.

Presence of galactic halo quenches Hawking temperature.

Model distinguishes galactic black holes from isolated ones via gravitational wave signals.

Abstract

In this article, we will first-time model galactic black holes in pure Lovelock gravity. Even though working with higher spacetime dimensions, we assume (implicitly) the Hernquist-type mass profile for the galaxy in such a way that the horizon structure of a pure LoveLock black hole remains intact. In this way, we will model the galactic pure Lovelock black hole with arbitrary dimension ($d$) and order ($N$). Then, we will specialize this technique for critical dimension $d=3N+1$. We want to see how the galactic parameters affect the time domain single, quasinormal modes, photon sphere, innermost stable circular orbits (ISCO), and shadow radius. The time domain signal may allow us to identify the galactic parameters as well as to distinguish them from their isolated pure Lovelock counterparts if it is observed in future generations of gravitational wave measurements. We also calculate Hawking temperature for the same setup and want to see how Hawking's temperature will be affected due to the presence of a galaxy. It shows that the presence of a galactic halo can quench Hawking temperature.