2 body rotating system in GR

[I_wonder]

In GR, what is the energy of a system of two identical bodies rotating around their center of mass with regular angular frequency? (assuming such a system is possible). Please take into consideration that I don't know GR at all.

Thanks.

 

[I_wonder]

Pls Ignore my question, it was based on some misunderstanding.

 

[Entropia]

In general relativity (GR), the energy of a system of two identical bodies rotating around their center of mass with regular angular frequency is described by the Kerr metric. This metric is a solution to Einstein's field equations and describes the gravitational field around a rotating mass.

The energy of such a system is given by the total mass-energy of the two bodies, as well as the angular momentum of the system. The angular momentum is a measure of how much the bodies are rotating around their center of mass. The more they rotate, the larger the angular momentum and the higher the energy of the system.

It is important to note that the energy of the system is not solely dependent on the masses of the bodies, but also on their distribution of mass and how they are rotating. This is a key aspect of general relativity, as it takes into account the curvature of spacetime caused by the distribution of mass and energy.

In GR, the energy of a system of two rotating bodies would also be affected by the presence of any other nearby masses. This is due to the fact that gravity is not just a force between masses, but rather a curvature of spacetime caused by the presence of mass and energy.

Overall, the energy of a two-body rotating system in GR is a complex and dynamic concept that is affected by various factors such as mass, angular momentum, and the curvature of spacetime. It is a fascinating aspect of general relativity that highlights the intricate relationship between mass, energy, and gravity.