Transformação de Lorentz sem invariância da velocidade da luz e o princípio da inércia em espaços não-euclidianos

Abstract

On this paper we present, at first, a deduction of the Lorentz Transformation based on assumptions about symmetries of space and time. Then we present the basic geometrical concepts to describe the notion of spacetime emerged with the interpretation of Lorentz Transformation. Finally, we present a simple generalization of the Galileo’s Inertia Principle (from Classical Mechanics) to non-Euclidean spaces and discuss some of its implications for the specific case of Schwarzschild spacetime.