Introduction to Modern Theoretical Physics: Classical physics and relativity

4-vector a₁ accelerated assumed B₁ base vectors body called Chapter charge coefficients components conservation consider constant contravariant coordinate system covariant d³x defined denote derivatives differential distance do² dr² eigenvalues Einstein's electric electromagnetic field energy equations of motion fluid follows force function Galilean transformations given by Eq gives gravitational field inertial system integral invariant Lagrangian linear Lorentz transformation magnetic field matrix Maxwell's equations mechanics metric tensor momentum moving Newton observer obtain operator orbit orthogonal oscillation P₁ particle path physics planet Poisson's equation position Problem quantities radius relativistic scalar product shown in Fig sin² solution solved space space-time sphere spherical stress-energy-momentum tensor surface symmetric theorem theory of relativity v²/c² vanish variables velocity wave world line write written zero με μν ді дх