Unimodüler f(R) Teoride Skaler Alanlı (1+1)-Boyutlu Karadelikler

Bu çalışmada, unimodüler f(R) gravitasyon teorisi çerçevesinde (1+1)-boyutlu Schwarzschild karadelikleri skaler alan varlığında araştırılmıştır. Unimodüler f(R) gravitasyon teorisinin (3+1)-boyutlu uzay-zaman geometrileri için tanımlanmış olan alan denklemleri, (1+1)-boyut için elde edilmiştir. Unimodüler f(R) gravitasyon teorisine ait enerji-momentum korunum denklemi, etkin enerji-momentum tensörü kullanılarak (3+1) ve (1+1)-boyutlu uzay-zamanlar için tanımlanmıştır. Tanımlanan korunum denklemi ve Klein-Gordon denklemlerinden faydalanılarak alan denklemi çözümleri elde edilmiştir. Keyfi sabitlerin farklı seçimleri için f(R) ve skaler alan fonksiyonlarının grafikleri gösterilmiştir. Elde edilen sonuçlar fiziksel ve geometrik açıdan tartışılmıştır.

(1+1)-Dimensional Black Holes with Scalar Field in Unimodular f(R) Theory

In this study, (1+1)-dimensional Schwarzschild blackholes with scalar field are investigated in the context of unimodular f(R) gravity theory. Field equation of unimodular f(R) gravity, defined for (3+1)dimensional space-times, is also obtained for (1+1)-dimensional geometries. Energy-momentum conservation law for unimodular f(R) gravity is defined by using effective energy-momentum tensor for (3+1) and (1+1)-dimensional space-times. By using the conservation law and Klein-Gordon equation, solutions of the field equations are obtained. Graphs of f(R) function and scalar field function are shown for different choosing of arbitrary constants. Obtained solutions are discussed physically and geometrically.

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