Unfortunately the maths of GTR implies infinite curvature and zero time passage at the black hole event horizon  and the black hole becomes a singularity- and yet the black hole has a radius,

In other theories the prediction is that  the force of gravity is exactly 6.25 times that of ordinary gravity at any horizon, including both the event horizon of black holes and the Cosmological event horizon. Thus accounting precisely for the presence of dark matter

Equally the time dilation is only 1.5 times the ordinary passage of time.

The solution is to alter the maths of GR.

Additionally GR falls down in a number of areas, so any new maths should also resolve these problems

Yes GR works in the weak fields of the the solar system, and Intermediate

fields of neutron stars. 

1). It produces infinite density singularities in the very strong fields

such as in black holes.

2).It does not necessarily explain dark matter in galaxy cores where we

know super-massive black holes exist and the galactic dark matter

therein,

3). It does not explain dark mater present in galactic halo's,and galactic

clusters such as the bullet cluster,

4).It does not explain the presence of cosmological dark matter as a whole.

5). It has not yet been fully corroborated by the studies of neutron stars

and in black holes.

6). It does not easily explain the presence of dark energy and cannot be

translated in quantum gravity.

7). It predicts that time stops at the event horizon

Here I enclose a number of publications which explain all of these

phenomena, whilst agreeing with the results of GR where it has been

thoroughly tested.

1).First to obviate the infinite density singularities.

1a)

https://www.researchgate.net/publication/32897680_An_advanced_dynamic_adaptation_of_Newtonian_equations_of_gravity?ev=prf_pub

1b)

https://www.researchgate.net/publication/269689554_The_formulation_of_Dynamic_Newtonian_advanced_gravity_DNAg?ev=prf_pub

2).Secondly we explain the presence of dark matter at the centre of the

galaxy.

2a)

https://www.researchgate.net/publication/228858219_Advances_in_Black_Hole_Gravitational_Physics_and_Cold_Dark_Matter_Modelling._The_Gravity_of_Dark_Matter

3) Thirdly it is possible to explain the presence of dark matter in the

galactic halo.

3a)

https://www.researchgate.net/publication/269689929_Advances_in_Black_Hole_Physics_and_Dark_Matter_Modelling_of_the_Galactic_Halo?ev=prf_pub

4). It is able to explain the presence of cosmological dark matter

https://www.researchgate.net/publication/32897680_An_advanced_dynamic_adaptation_of_Newtonian_equations_of_gravity

5). It is corroborated in neutron stars (including Data from radiation

damping ) and is corroborated by black hole studies.

5a)

https://www.researchgate.net/publication/32888463_An_advanced_modification_of_dynamicgravitation

5b).

https://www.researchgate.net/publication/269667939_Corroboration_of_Dynamic_Black_Hole_Gravitational_Physics_from_Observations_of_Cygnus_X-1

6) it explains dark energy and translates into quantum gravity

https://www.researchgate.net/publication/32899306_String_quintessence_and_the_formulation_of_advanced_quantum_gravity

7). It does not offer infinite time dilation at the event horizon

https://www.researchgate.net/publication/287213872_Finite_Gravitational_Time_Dilation_In_Black_Holes_Using_Dynamic_Newtonian_Advanced_Gravity_DNAg

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SourceAvailable from: Andrew Worsley

Article An advanced dynamic adaptation of Newtonian equations of gravity

Article The formulation of Dynamic Newtonian advanced gravity, DNAg

Article Advances in Black Hole Gravitational Physics and Cold Dark M...

Article Advances in Black Hole Physics and Dark Matter Modelling of ...

Article An advanced modification of dynamic gravitation

Article Corroboration of Dynamic Black Hole Gravitational Physics fr...

Article String quintessence and the formulation of advanced quantum gravity

Article Finite Gravitational Time Dilation In Black Holes Using Dyna...

Well saying there are no black holes - is just about as informed as saying there is no gravity.

It is an easy way of getting round the mathematical problem rather than trying to answer it

Dear Andrew,

You rightly criticize the theory of relativity in the previous comment. However, I argue that this is not only mathematical problem, besides you do not take into account many physical factors, since you are focusing exclusively on gravity.

Well as you quite rightly point out a theory should be cohesive and explain other aspects of Nature using the same concepts.

Much of the above concepts explain dark matter without postulating as yet unseen new particles.

We  have already determined what causes the energy in empty space i.e. dark energy (see String quintessence and the formulation of advanced quantum gravity- above).

The same concepts explain  the  energy equations used in quantum physics

https://www.researchgate.net/publication/243587881_The_formulation_of_harmonic_quintessence_and_a_fundamental_energy_equivalence_equation

Equally well they explain particle physics

https://www.researchgate.net/publication/253298817_Harmonic_quintessence_and_the_derivation_of_the_charge_and_mass_of_the_electron_and_the_proton_and_quark_masses

and of course thermodynamics,

https://www.researchgate.net/publication/258810897_Harmonic_quintessence_and_the_derivation_of_the_fundamental_constants_of_thermodynamics.

QED

Article The formulation of harmonic quintessence and a fundamental e...

Article Harmonic quintessence and the derivation of the charge and m...

Article Harmonic quintessence and the derivation of the fundamental ...

Dear Andrew,

I agree with you that the dark matter does not require the search for new particles.

However in the paper "The formulation of harmonic quintessence..." I immediately found the axiomatic postulate ( m_q = Planck mass x Planck time ) that does not allow you to peek under the skin of quantum mechanics. This is practically equivalent to the postulation of the Planck constant and does not go beyond phenomenology. So you built for themselves an insurmountable barrier.

I also welcome your idea go to the fractions in the quantization and dichotomy. But it is necessary to consider the entire object, which can be split up for waves. After all you have paid little attention to the angular momentum (spin) which is essential. Evolution of the system is a huge topological problem, which is much harder than it looks in the Euclidean space.

@ Vasily

I can assure you all this has been considered in considerable depth, including angular momentum.

The move from the ordinary  Planck mass to one that is 42 orders of magnitude smaller, is not just peeking "under the skin" but looking at the whole anatomy of quantum  mechanics.

How else can one be able to derive the equations of quantum mechanics from first principles. At the same time explaining Subatomic particle masses and constants of the thermodynamics, and dark  matter all from the same Planck mass.

Is there any direct evidence / observation that black holes increase mass after they have been formed, or is it all based on non GR theories?

@ Paul

Very clear evidence that the super-massive black holes that inhabit the cores of galaxies did not exist at the time of the CMBR.

So they must have accumulated mass since that time

Andrew,

>Very clear evidence that the super-massive black holes that inhabit the cores of galaxies did not exist at the time of the CMBR.

So they must have accumulated mass since that time

Massive stars collapsed after CMBR so they could have formed the black hole without any additional material feeding in?

The eaRLIST EVIDENCE OF GALAXIES IS WELL AFTER cmbr

Aleš,

It comes down to the fact that the principle of cosmic censorship should be taken in literal physical sense. Barrier is finite, time too. Within the framework of the existing concept (Hawking).

@Vasiliy

Kerr black holes effectively violate the Schwarzschild radius at GM/c^2, and defy all common sense.

With respect the spinning black hole involves some aspects which are not observed in reality. Examine the paper.

https://www.researchgate.net/publication/269667939_Corroboration_of_Dynamic_Black_Hole_Gravitational_Physics_from_Observations_of_Cygnus_X-1

Article Corroboration of Dynamic Black Hole Gravitational Physics fr...

Aleš,

I do not think that the non-rotating black holes may exist too. An indirect confirmation of this is the fact that observational data suggest the existence of a lower limit of rotation speed for neutron stars.

And in my humble opinion, the angular momentum of the BH is directly related to the speed of light.

I do not kosmologist too, as you already know. I consider the existing experimental data mainly in the aspect of Prigogine heritage in terms of systems. For any theoretical models'm equally skeptical.

@Ales

Agreed Non rotating black holes are unlikely to exist.

Which means there are no Schwarzschild black holes in the Kerr system - very unlikely. 2GM/c^2 is the  the schwartzschild metric, which negates everything we know of black holes- non sequitutr