On Quantization of a Slowly Rotating Kerr Black Hole in Teleparallel Gravity

In this article we calculate the total angular momentum for Kerr space-time for slow rotations in the context of teleparallel gravity. In order to analyze the role of such a quantity, we apply Weyl quantization method to obtain a quantum equation for the z-component of the angular momentum density,...

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Main Authors: Sérgio Costa Ulhoa, Ednardo Paulo Spaniol, Ronni Geraldo Gomes Amorim
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Universe
Subjects:
Online Access:http://www.mdpi.com/2218-1997/5/1/29
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author Sérgio Costa Ulhoa
Ednardo Paulo Spaniol
Ronni Geraldo Gomes Amorim
author_facet Sérgio Costa Ulhoa
Ednardo Paulo Spaniol
Ronni Geraldo Gomes Amorim
author_sort Sérgio Costa Ulhoa
collection DOAJ
description In this article we calculate the total angular momentum for Kerr space-time for slow rotations in the context of teleparallel gravity. In order to analyze the role of such a quantity, we apply Weyl quantization method to obtain a quantum equation for the z-component of the angular momentum density, and for the squared angular momentum density as well. We present an approximate solution using the Adomian decomposition method (AM), which reveals a discrete characteristic for angular momentum.
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spelling doaj.art-44a1ee8782404b4889c45d7b204870462022-12-22T02:55:48ZengMDPI AGUniverse2218-19972019-01-01512910.3390/universe5010029universe5010029On Quantization of a Slowly Rotating Kerr Black Hole in Teleparallel GravitySérgio Costa Ulhoa0Ednardo Paulo Spaniol1Ronni Geraldo Gomes Amorim2Instituto de Física, Universidade de Brasília, Brasília, DF 70910-900, BrazilUDF Centro Universitário, Brasília, DF 70390-045, BrazilFaculdade Gama, Universidade de Brasília, Brasília, DF 70910-900, BrazilIn this article we calculate the total angular momentum for Kerr space-time for slow rotations in the context of teleparallel gravity. In order to analyze the role of such a quantity, we apply Weyl quantization method to obtain a quantum equation for the z-component of the angular momentum density, and for the squared angular momentum density as well. We present an approximate solution using the Adomian decomposition method (AM), which reveals a discrete characteristic for angular momentum.http://www.mdpi.com/2218-1997/5/1/29quantum gravityteleparallelismangular momentum
spellingShingle Sérgio Costa Ulhoa
Ednardo Paulo Spaniol
Ronni Geraldo Gomes Amorim
On Quantization of a Slowly Rotating Kerr Black Hole in Teleparallel Gravity
Universe
quantum gravity
teleparallelism
angular momentum
title On Quantization of a Slowly Rotating Kerr Black Hole in Teleparallel Gravity
title_full On Quantization of a Slowly Rotating Kerr Black Hole in Teleparallel Gravity
title_fullStr On Quantization of a Slowly Rotating Kerr Black Hole in Teleparallel Gravity
title_full_unstemmed On Quantization of a Slowly Rotating Kerr Black Hole in Teleparallel Gravity
title_short On Quantization of a Slowly Rotating Kerr Black Hole in Teleparallel Gravity
title_sort on quantization of a slowly rotating kerr black hole in teleparallel gravity
topic quantum gravity
teleparallelism
angular momentum
url http://www.mdpi.com/2218-1997/5/1/29
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