RELATIVISTIC KINEMATICS IN ANISOTROPIC SPACES

• DOI: https://doi.org/10.22533/at.ed.3174122424044

• Palavras-chave: Espacio-tiempo anisotrópico, transformaciones de coordenadas, intervalo espacio- tiempo, transformaciones de velocidades.

• Keywords: Anisotropic space-time, coordinate transformations, space-time interval, velocity transformations.

• Abstract: A study of the Lorentz coordinate transformations is made accepting the validity of the two Einstein postulates and the spatial-temporal homogeneity, but in space-time lacking isotropy. Expressions relating the space-time coordinates between two inertial observers are found. Under the new equations of coordinate transformations, a study is made of the way transformation equations take for both velocity and acceleration measured by two inertial observers. These transformations are analyzed to see which ones remain unchanged, which change and which form change with respect to those obtained from spatial relativity in isotropic spaces. The invariance of the space-time interval is also studied.