عنوان
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On Einstein Matsumoto metrics
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Einstein Finsler space, Matsumoto metrics, Ricci flat metrics
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چکیده
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Einstein metrics are solutions to Einstein field equation in General Relativity containing the Ricci-flat metrics. Einstein Finsler metrics which represent a non-Riemannian stage for the extensions of metric gravity, provide an interesting source of geometric issues and the -metric is an important class of Finsler metrics appearing iteratively in physical studies. It is proved that every -dimensional Einstein Matsumoto metric is a Ricci-flat metric with vanishing S-curvature. The main result can be regarded as a second Schur type Lemma for Matsumoto metrics.
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پژوهشگران
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بهمن رضایی (نفر دوم)، مهدی رفیعی راد (نفر اول)
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