# A novel derivation of the rotating black hole metric

@article{Dadhich2013AND, title={A novel derivation of the rotating black hole metric}, author={Naresh Dadhich}, journal={General Relativity and Gravitation}, year={2013}, volume={45}, pages={2383-2388} }

We derive the rotating black hole metric by appealing to ellipsoidal symmetry of space and a general guiding principle of incorporation of the Newtonian acceleration for massive and no acceleration for massless particles.

## 17 Citations

### Novel way to the metric of higher dimensional rotating black holes

- PhysicsPhysical Review D
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We wish to carry forward to higher dimensions the insightful and novel method of obtaining the Kerr metric proposed by one of us [Gen. Relativ. Gravit. 45, 2383 (2013)] for deriving the Myers-Perry…

### Rotating black hole in Einstein and pure Lovelock gravity

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We obtain rotating black hole metric for higher dimensional Einstein and pure Lovelock gravity by employing two independent and well motivated methods. One is based on the principle of incorporation…

### How do rotating black holes form in higher dimensions?

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Black holes are generally formed by gravitational collapse and accretion process. The necessary condition for the process to work is that overall force on collapsing/accreting matter element must be…

### Energetics and optical properties of 6-dimensional rotating black hole in pure Gauss–Bonnet gravity

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We study physical processes around a rotating black hole in pure Gauss–Bonnet (GB) gravity. In pure GB gravity, the gravitational potential has a slower fall-off as compared to the corresponding…

### A New Rotating Metric that Generalizes the Yilmaz Exponential Metric

- Physics, Mathematics
- 2017

Using a technique due to Dadhich, we derive an ellipsoidally symmetric rotating metric which reduces to the Yilmaz exponential metric when the rotation parameter is set to zero. Like the Kerr metric,…

### Newtonian wormholes

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- 2014

A wormhole solution in Newtonian gravitation, enhanced through an equation relating the Ricci scalar to the mass density, is presented. The wormhole inhabits a spherically symmetric curved space,…

### The Kerr metric

- Physics
- 2015

This review describes the events leading up to the discovery of the Kerr metric in 1963 and the enormous impact the discovery has had in the subsequent 50 years. The review discusses the Penrose…

### Thermal radiation in curved spacetime using influence functional formalism

- PhysicsPhysical Review D
- 2022

Generalizing to relativistic exponential scaling and using the theory of noise from quantum fluctuations, it has been shown that one vacuum (Rindler, Hartle-Hawking, or Gibbons-Hawking for the cases…

### Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction

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- 2015

Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(–Droste) solution, and into…

### Einstein Gravity and Beyond: Aspects of Higher-Curvature Gravity and Black Holes

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- 2014

This thesis explores the different aspects of higher curvature gravity. The "membrane paradigm" of black holes in Einstein gravity is extended to black holes in f(R) gravity and it is shown that the…

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### * Electronic address: nkd@iucaa.ernet

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