Conserved quantities for black hole solutions in pure Lovelock gravity

TL;DR

This paper develops conserved quantities like energy and fluxes for various black hole solutions in pure Lovelock gravity, including static and dynamic cases with different asymptotics, using a field-theoretical formalism.

Contribution

It introduces a comprehensive method to compute conserved quantities for black holes in pure Lovelock gravity, covering static and dynamic solutions with diverse asymptotics.

Findings

Explicit expressions for global and quasi-local energies are derived.

Energy fluxes and densities are calculated for dynamic black holes.

The energetic characteristics are thoroughly analyzed and discussed.

Abstract

We construct conserved quantities in pure Lovelock gravity for both static and dynamic Vaydia-type black holes with AdS, dS and flat asymptotics, applying field-theoretical formalism developed earlier. Global energy (where applicable), quasi-local energy together with fluxes of these quantities are presented for both types of black holes, considering asymptotic spacetime as background. The same quantities are constructed for dynamic black holes on the background of the related static black holes. Besides, for the dynamic black holes, energy densities and densities of energy flux are calculated in the frame of freely and radially falling observer on the background of the related static black holes. All the constructed energetic characteristics are analyzed and discussed in detail.