If gravitational interactions between bodies with inertial mass is performed by exchange of gravitons, and they travel at light speed, how can black holes, from which nothing can scape, interact with matter?
There are no particles or distortions of spacetime exchanging attraction by gravity. Instead, there seem to be suctions of space by all matter particles for their existence.
On the other hand, changes of mass distribution interferes with spacetime signalling gravitational changes at speed c.
Hence, if black holes exist, they are fixed formed objects without inner mass distribution dynamics.
A black hole can be characterized by it's mass, charge and spin. They are predicted by Einstein's general theory of relativity, and in that framework we understand their existence. We can describe how they interact with other forms of matter, and how much they can distort space-time around them using general theory of relativity.
We do not know the exact theory of quantum gravity, however, sufficiently far from the back-hole, where gravitational attraction is weak, it is possible to perform calculations using quantum field theory in curved space time. Hawking showed that quantum effects allow a black-hole to emit electromagnetic radiation having a black-body spectrum. This radiation is known as Hawing radiation.
Quantum gravity is appreciable at Planck energies, which, in terms of length scales translate to about 10-35 meters. Black hole event horizon is not so small. Therefore, at ordinary energies one uses GTR to describe how it can interact with other massive objects. In early universe, however, quantum gravity played an important role. Perhaps one can find imprints of graviton interactions in the polarization of cosmic microwave background photons. Experiments are underway to detect such polarization, called B modes, however it is difficult to separate primordial effects from the scattering effects caused by interstellar dust with CMBR photons.
The small correction which Time Compression Theory makes to Einstein's General Relativity, actually indicates that the new version of Einstein's theory predicts a Black Sphere, which has no singularity, instead of the Black Hole with a singularity. It also predicts that, what we observe as gravity, is actually a effect of compressed time not curved space and that time is a form of electromagnetism. We are now working with many top Universities around the world who are looking into the new version of General Relativity, interestingly three of those universities asked this exact same question and all three now have dismissed gravity and replaced it with Ct (Compressed Time) and each are, at some stage, intending to release papers using the Black Sphere and not Black hole. Due to NDA's we can't at this stage say much more.
Gravitation of attraction is caused only by mass. The center of attraction of Newtonian kind is the sphere with Hilbert's radius r_g = 2GM/c^2 which is inside of gravitating mass. This gravitational field can be described by Schwarzschield metric for the field of distant mass. Gravitational force is F = GM/r^2 as in the Newtonian theory. The kind of gravitation (attraction or repulsion) depends on the value r_g/a, where a is radius of gravitating mass. If r_g
I set out the answer to your question in the book "Electromagnetic Gravity. Part 2" in my profile. The vortex flow of gravitons (quanta of the electromagnetic field) flows around the Black Hole. On the horizon the stream moves at the speed of light. The Bernoulli Effect creates a gradient of normal pressure of the external environment of the electromagnetic field around the Black Hole, i.e. force of gravity. The mechanism is the same as that of the Sun.
Yours
Valeriy Pakulin
PS
Do you agree that a White Hole is forming inside a Black Hole (see picture)? I write this in "Electromagnetic Gravity. Part 1"
As far as I know photons, not gravitons, are the quanta of EM radiation. I thought that electromagnetic forces are far stronger than gravitational ones and I am surprised that gravitation in your model has an electromagnetic component...In addtion, I don't think Bernouilly effect can produce any effect ( force) on massless particles. As I don't have your text , could you briefly explain to me the underlying mechanism?