Solusi Eksak Medan Einstein-Maxwell-Skalar Pada Ruang-Waktu Simetri Bola

Karim, Muhammad Ilham Nur (2023) Solusi Eksak Medan Einstein-Maxwell-Skalar Pada Ruang-Waktu Simetri Bola. Other thesis, Institut Teknologi Sepuluh Nopember.

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Abstract

Solusi dari Medan Einstein-Maxwell-skalar telah didapatkan. Solusi ini diperoleh dengan menggunakan metrik simetri bola dan memenuhi beberapa solusi yang telah diketahui
seperti solusi Schwadzschild dan Reissner-N¨ordstrom. Terdapat tiga parameter bebas berupa massa M, muatan listrik Qe dan muatan skalar C(atau dalam n parameter). Pada solusi yang diperoleh terungkap bahwa muatan listrik (Qe) yang memberikan solusi medan listrik E dapat diubah menjadi muatan magnetik (Qm) sehingga potensial Ardigantikan oleh Aϕ = Qcosθ didapatkan solusi medan magnet yang sama dengan solusi medan listrik dengan mengganti Qm menjadi Q. Kemudian telah ditunjukkan mengenai invariansi kurvatur pada solusi medan Einstein-Maxwell-skalar dan diperoleh tiga bentuk singularitas yakni r = r+ dan r = r−.
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The solution of the Einstein-Maxwell-scalar field equations has been obtained. This solution is obtained using a spherically symmetric metric and satisfies several known solutions such as the Schwarzschild and Reissner-Nordstr¨om solutions. There are three free parameters: mass (M), electric charge (Q), and scalar charge (C) (or n parameters). In the obtained solution, it is revealed that the electric charge (Q) that gives the electric field solution E can be transformed into a magnetic charge (Qm), replacing the potential At = −Qe/r with Aϕ = Qcos θ. This yields the same magnetic field solution as the electric field solution by replacing Qm with Q. Furthermore, the curvature invariance of the Einstein-Maxwell-scalar field solution has been shown, revealing three forms of singularities at r = r+, and r = r−.

Item Type:	Thesis (Other)
Uncontrolled Keywords:	Medan Einstein, Medan Maxwell, Medan Skalar
Subjects:	Q Science > QB Astronomy > QB336 Gravity anomalies
Divisions:	Faculty of Science and Data Analytics (SCIENTICS) > Physics > 45201-(S1) Undergraduate Thesis
Depositing User:	Muhammad ilham Nur Karim
Date Deposited:	07 Aug 2023 02:17
Last Modified:	07 Aug 2023 02:17
URI:	http://repository.its.ac.id/id/eprint/103386

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