Scalar, Vector or Tensor? Gravity

This lecture explores the main points of defining antisymmetric tensor in arbitrary coordinate systems, discussing the dimensionality of space-time, formulating the challenge for constructing a relativistic theory of gravity, and deriving equations of motion for free particles. The instructor presents the challenges faced in formulating a relativistic theory of gravity, the limitations of scalar gravity, and the importance of considering gravity as a tensor field. The lecture concludes with a discussion on the equivalence principle and the implications of gravitational mass in the context of electromagnetic fields.