Invarian Kretschmann untuk Ruang-waktu Vakum, Statik dan Bersimetri Bola
DOI:
https://doi.org/10.26418/pf.v7i3.36423Abstract
Dalam penelitian ini, telah dilakukan perhitungan invarian Kretschmann dari lubang hitam Schwarzschild yang merupakan solusi persamaan Einstein untuk ruang-waktu vakum, statik dan bersimetri bola. Langkah pertama dari perhitungan ini adalah dengan menghitung semua simbol Christoffel dari komponen-komponen tensor metrik Schwarzschild, yang dilanjutkan dengan menghitung semua komponen kovarian dan kontravarian dari tensor Riemann. Selanjutnya, besaran invarian Kretschmann dari lubang hitam Schwarzschild dapat diperoleh dari komponen-komponen tensor Riemann tersebut. Berdasarkan ungkapan analitik invarian Kretschmann yang telah diperoleh dapat ditunjukkan bahwa lubang hitam Schwarzschild memiliki singularitas nyata di dan singularitas semu (singularitas koordinat) di . Permukaan ini kemudian dikenal sebagai horizon peristiwa lubang hitam Schwarzschild.
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Date: 24-05-2023
Prisma Fisika
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