RMOND theory and Schwarzschild metric

Question

In a recent paper https://arxiv.org/abs/2007.00082, two authors propose a new model (RMOND) which seems succesful to explain many cosmological data. Obviously, the GR theory must have as classical limit the modified equations of gravity of RMOND. Is the Schwarzschild metric modified by this new theory? And if the answer is 'yes', how?

MadMax · Answer

Of course the Schwarzschild metric is modified by this new RMOND theory.
Newton's gravity is the weak field limit of Schwarzschild metric. And MOND is a modification of Newton's gravity. Therefore any relativistic extension of MOND theory (including RMOND) has to modify the Schwarzschild metric at least in the weak field limit.
The paper https://arxiv.org/abs/2007.00082 you cited focuses on the FLRW metric, since it discuses the RMOND's cosmological consequences.
If you are interest in the modified Schwarzschild metric formula, you can refer to equation (16) of another paper by the same author (Tom Złosnik): https://arxiv.org/abs/0707.3519

RMOND theory and Schwarzschild metric

One Answer

Add your own answers!

Ask a Question