The contribution Hans Adolph Buchdahl f(R) gravity

Department of Theoretical Physics and Condensed Matter Physics (020), Institute of Nuclear Sciences Vinča-National Institute of the Republic of Serbia, University of Belgrade, P.O. Box 522, 11001 Belgrade, Serbia

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Published online: 15 April 2026

Abstract

Hans Adolph Buchdahl was born in Mainz, Germany, into a Jewish family. He was an Australian physicist, and he was born on 7 July 1919 and died on 7 January 2010. He worked on general relativity, thermodynamics, and optics. He was the founder of the modified theory of gravity of the f (R) type, where f (R) is a general function of the Ricci scalar, unlike Einstein's general theory of relativity f (R) = R. He proposed f (R) gravity first in his paper in 1970 [2]. He set up the field equations of f (R) gravity. Also, he is known for developing Buchdahl's theorem, which is a relation between the mass and radius in the static, spherically symmetric matter configurations. This paper will present his historical work on the creation of f(R) gravity as the founder of f(R) gravity, and also in one chapter it will be represented Buchdahl's theorem.