The electromagnetic energy with the truncation method for a five-dimensional rotating black hole in a uniform magnetic field

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Kaya R., Yılmaz Ş.

GENERAL RELATIVITY AND GRAVITATION, vol.50, 2018 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 50
• Publication Date: 2018
• Doi Number: 10.1007/s10714-018-2462-5
• Journal Name: GENERAL RELATIVITY AND GRAVITATION
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Yıldız Technical University Affiliated: Yes

Abstract

We consider a charged five-dimensional Myers-Perry black hole in a uniform magnetic (test) field. Using the Komar mass formula, we calculate the total energy of the electromagnetic field within the truncation three-sphere for a five-dimensional rotating black hole with two equal-rotation parameters and two equal-magnetic field strengths. We show that the total electromagnetic energy takes the minimum value when the five-dimensional rotating black hole acquires a non-zero net electric charge Q.