This is a contributed topic on further developments of relativity theories.

1 Recent Developments of Relativity Theories

1.1 Loop Quantum Gravity (LQG)

1.2 Quantum Riemannian geometry (QRG)

QRG represents a new approach to quantum gravity in terms of ‘deformed’ Riemannian, quantum geometry.

1.3 Globally covariant GR theories (GC-GR)

1.3.1 ECE

(ECE is presented at the AIAS website).

1.4 Locally covariant GR (LC-GR) and SR theories

1.5 Penrose theories

1.6 Hawking theories