Preprint / Version 1

Newtonian and relativistic gravity




gravity, Newtonian gravity, relativistic gravity, special relativity, general relativity


Classical Newtonian gravity admits a geometrical description. Together with special relativity, this allows for a heuristic description of general relativity. Inertial motion in classical mechanics is related to the geometry of space and time, basically along geodesics where universe lines are straight lines in relativistic spacetime. According to general relativity, the force of gravity is a manifestation of the local space-time geometry. General relativity is a metric theory of gravity. At its base are Einstein's equations, which describe the relationship between the geometry of a four-dimensional, pseudo-Riemannian manifold representing space-time and the energy-momentum contained in that space-time. Gravity corresponds to changes in the properties of space and time, which in turn alter the paths of objects.

Author Biography

Nicolae Sfetcu, Romanian Academy

Researcher - Romanian Academy - Romanian Committee for the History and Philosophy of Science and Technology (CRIFST), History of Science Division (DIS)


Brans, C., and R. H. Dicke. 1961. “Mach’s Principle and a Relativistic Theory of Gravitation.” Physical Review 124 (3): 925–35.

Chandrasekhar, Subrahmanyan. 1998. The Mathematical Theory of Black Holes. Clarendon Press.

Ehlers, Jürgen. 1973. “Survey of General Relativity Theory.” 1973.

Giulini, D. 2006. “Algebraic and Geometric Structures in Special Relativity.” In Special Relativity, 45–111. Lecture Notes in Physics. Springer, Berlin, Heidelberg.

Havas, Peter. 1964. “Four-Dimensional Formulations of Newtonian Mechanics and Their Relation to the Special and the General Theory of Relativity.” Reviews of Modern Physics 36 (4): 938–65.

Hawking, S. W., and G. F. R. Ellis. 2008. The Large Scale Structure of Space-Time. 21. printing. Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge Univ. Press.

Schutz, Bernard F., and Director Bernard F. Schutz. 1985. A First Course in General Relativity. Cambridge University Press.

Weinberg, Steven. 1972. Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. Wiley.

Wheeler, John Archibald. 1990. A Journey Into Gravity and Spacetime. Scientific American Library.