# Spacetime Topology and the Laws of Black Hole-Soliton Mechanics

## Abstract

**:**

## 1. Introduction

## 2. Black Holes and Solitons in Five Dimensions

#### 2.1. Stationary, Biaxisymmetric Solutions

#### 2.2. The Theory and Potentials

## 3. 1st Law of Black Hole-Soliton Mechanics

#### 3.1. Soliton Spacetimes

#### 3.2. Black Holes Spacetimes Containing Solitons

**Theorem**

**1.**

#### 3.3. A Gravitational 1-Soliton Spacetime $\mathcal{M}={\mathbb{R}}^{4}\#{\mathbb{CP}}^{2}$

## 4. Discussion

## Acknowledgments

## Conflicts of Interest

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Kunduri, H.K. Spacetime Topology and the Laws of Black Hole-Soliton Mechanics. *Entropy* **2017**, *19*, 35.
https://doi.org/10.3390/e19010035

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Kunduri HK. Spacetime Topology and the Laws of Black Hole-Soliton Mechanics. *Entropy*. 2017; 19(1):35.
https://doi.org/10.3390/e19010035

**Chicago/Turabian Style**

Kunduri, Hari K. 2017. "Spacetime Topology and the Laws of Black Hole-Soliton Mechanics" *Entropy* 19, no. 1: 35.
https://doi.org/10.3390/e19010035