Astrophysicist proposes a new theory of gravity without a conservation law about study Non-conserved modified gravity theory (PDF)

A RUDN astrophysicist Hamidreza Fazlollahi has built a new theory of gravity, in which the "law of conservation" of the energy–momentum tensor is not required. He started from the so-called Gibbs–Duhem relation. This is an equation that shows how the indicators of its components change in a thermodynamic system. After the transformations, we have an equation that resembles the classical Einstein equation in form, but with different factors and constants. The field equations were supplemented with two terms. One describes temperature–entropy, and the second describes charge and interaction.

The astrophysicist showed that the new gravitational model is consistent for different environments and can be used in astrophysical and astronomical research. As an example, the author tested the new theory by calculating two stages of the development of the universe—inflationary and accelerating expansion. The new theory's indications are consistent with experimental observations. See also:

• So Long, Einstein? Astrophysicist Develops New Theory Of Gravity In string theory, Einstein’s classical equation is just the first term in an infinite series of gravitational corrections
• Astrophysicist 'Fixes' General Relativity by Throwing Out a Major Law
• Radical New Theory Says we got Energy Conservation Wrong, That's Why we Need Dark Energy In essence it says that if energy isn’t conserved that’s because space changes in time. The change in energy needs to match to the change in space (the covariant conservation law of the stress energy tensor). The author uses this energy non-conservation approach to arrive at specific predictions he says that this leaves some small features in the cosmic microwave background which is what people usually “predict” in this area. The issue is that even if that prediction would turn out to be correct, there are like a hundred or so other models giving the same prediction.