Tryon’s Conjecture and Energy and Momentum of Bianchi Type Universes
Sunil Kumar Tripathy (Department of Physics, Indira Gandhi Institute of Technology, Sarang, Dhenkanal District, Odisha 759146, India); Prajyot Kumar Mishra (Department of Electrical Engineering, Indira Gandhi Institute of Technology, Sarang, Dhenkanal District, Odisha 759146, India); Bibhudatta Panda (Department of Electrical Engineering, Indira Gandhi Institute of Technology, Sarang, Dhenkanal District, Odisha 759146, India); Pradosh Ranjan Pattanayak (Department of Computer Science Engineering and Applications, Indira Gandhi Institute of Technology, Sarang, Dhenkanal District, Odisha 759146, India)
The energy and momentum of some diagonal anisotropic Bianchi type Universes are obtained using different energy-momentum complexes in the framework of General Relativity. The Møller energy is found to be zero for all the Universes considered in the present work. In all other prescriptions, the energy and momentum vanish when the sum of the metric parameters and vanishes. This result obviously raises a question: why this specific choice? We have explored Tryon’s conjecture that the Universe must have a zero net value for all conserved quantities to get some ideas on this issue.
