- #1
Quantum Immortal
- 35
- 1
Gravitomagnetism is this thing
https://en.wikipedia.org/wiki/Gravitomagnetism
Like electromagnetism equations, but adapted for gravity
The equations just like that are manifestly problematic.
If we use four-momentum as the source( appropriate units), does the equation become covariant?
From the covariant electromagnetism equations, we replaced one covariant four vector with an other, plus other minor changes... It will be weird if they are not covarint.
the four-momentum should also include the energy/momentum from the gravitational field it self not just mater/electromagnetism.
if not. Can we use the stress energy tensor instead?
By grouping pressure, stress and energy density together, to form a new four vector?
00 would be the trace T plus the shear stress.
Pressure and stress aren't just part of the energy density? Pressure and stress aren't just macroscopic manifestations of a form of energy/momentum?
if not, can you see an other way to make it covariant. It can't be that hard, its almost there. Its basically the electromagnetism equations.
An other issue that is problematic, is that the hyper relativistic equations should be used instaid.
But it must be first covariant for that.
The level of precision is so high, that it doesn't matter if the fields are weak and with slow speeds. For example, the precession of mercury, is slow and weak field, but its an observation spanning 100 years.
If i understand corectly, the usuall lorentz transformations are no good, because we have constant accelaration, so the generalized lorentz transformations should be used instaid.
well...
at least it makes more testable predictions then string theory and loop gravity combined >:P
https://en.wikipedia.org/wiki/Gravitomagnetism
Like electromagnetism equations, but adapted for gravity
The equations just like that are manifestly problematic.
If we use four-momentum as the source( appropriate units), does the equation become covariant?
From the covariant electromagnetism equations, we replaced one covariant four vector with an other, plus other minor changes... It will be weird if they are not covarint.
the four-momentum should also include the energy/momentum from the gravitational field it self not just mater/electromagnetism.
if not. Can we use the stress energy tensor instead?
By grouping pressure, stress and energy density together, to form a new four vector?
00 would be the trace T plus the shear stress.
Pressure and stress aren't just part of the energy density? Pressure and stress aren't just macroscopic manifestations of a form of energy/momentum?
if not, can you see an other way to make it covariant. It can't be that hard, its almost there. Its basically the electromagnetism equations.
An other issue that is problematic, is that the hyper relativistic equations should be used instaid.
But it must be first covariant for that.
The level of precision is so high, that it doesn't matter if the fields are weak and with slow speeds. For example, the precession of mercury, is slow and weak field, but its an observation spanning 100 years.
If i understand corectly, the usuall lorentz transformations are no good, because we have constant accelaration, so the generalized lorentz transformations should be used instaid.
well...
at least it makes more testable predictions then string theory and loop gravity combined >:P