# NAT Black Holes

## TL;DR

This paper explores the physical properties, thermodynamics, and particle dynamics of black holes within Null Aether Theory, revealing how NAT charge influences temperature and geodesic behavior.

## Contribution

It provides the first detailed analysis of black hole solutions, thermodynamics, and particle motion in Null Aether Theory, a vector-tensor gravity framework.

## Key findings

- Black hole solutions in NAT are characterized and classified.
- The first law of thermodynamics is derived for NAT black holes.
- NAT charge affects black hole temperature and particle geodesics.

## Abstract

We study some physical properties of black holes in Null Aether Theory (NAT)--a vector-tensor theory of gravity. We first review the black hole solutions in NAT and then derive the first law of black hole thermodynamics. The temperature of the black holes depends on both the mass and the NAT \textquotedblleft charge" of the black holes. The extreme cases where the temperature vanishes resemble the extreme Reissner-Nordstr\"{o}m black holes. We also discuss the contribution of the NAT charge to the geodesics of massive and massless particles around the NAT black holes.