This article is a computational analysis of the theory of gravitational waves; as expressed within Einstein’s Theory of General Relativity and the wider realm of Astrophysics. Essentially a critique, this study has been written for the purpose of explaining the unobvious challenges faced in building graphically dynamic evolutionary computer models. These models compute the theoretical functionality of gravitational waves in the celestial paradigms of solar system formation and galaxy formation.
This script is intended to be interpreted by computer programmers, philosophers, physicists, mathematicians, psychologists and the curious public. It is thus expressed in ordinary language devoid of jargon as much as is possible.
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http://www.flight-light-and-spin.com/relativity/gravitational-waves%2Bgeneral-relativity.htm
I don't think the person involved understands any of the physics or mathematics of the subject that he is talking about. He has a very poor understanding of the subject.
The first paragraph is a nontechnical review of the matter. This would be good enough for a layman. However, please note that it is a nontechnical review. There is no quantitative information, no mathematical expressions, and no logical axioms. Therefore, the description has been simplified for understanding at the cost of ambiguity in the physics.
The following paragraphs make some pseudo-logical deductions from the ambiguous terminology. He starts by begging the question. He places his own false conclusions in the hypotheses of his question.
The writer claims that gravity waves can't escape a black hole because time stops at the event horizon. However, physicists and mathematicians don't claim that gravity waves 'escape' a black hole.
The gravitational tensor, which is the relativistic analog to a gravitational field, extends a long distance from the event horizon. If the black hole were in free fall in a flat region of space time, then there would be a static gravitational tensor that extended far past the event horizon. When the black hole is accelerated, by either a mechanical force or a curved gravitational tensor, there is a true wave that forms at a large distance from the black hole.
Let me over simplify the problem for clarity!

Let us picture the relativistic gravitational tensor as something like a gravitational field as presented in an undergraduate introductory physics class. Sophmores, attention!
The event horizon only tethers the gravitational field. Waves don't 'escape' from the event horizon. The gravitational field is a far field effect that is not valid close to the event horizon. The gravitational field near the event horizon is better described by near field.
Some analogies would be helpful. I will try two. Although one has to be cautious about analogies, an analogy would be better than the paranoid slop some cranks are peddling
Gravitational waves are distantly analogous to electromagnetic waves (e.g., light). The gravitational field is distantly analogous to an electromagnetic field.
Electric charges tether electric fields. Even when an electric charge is standing still, there is a static electric field that extends large distances from the electric charge. Magnetic fields are generated when an electric charge moves at a uniform velocity. The magnetic fields encircle the moving electric charge.
The electromagnetic fields close to the charge are not true waves. They can be simply described using a near field approximation. If the charge does not accelerate, then the electric and magnetic fields merely follow the motion of the electric charge. This near field motion can't transmit energy large distances, although it can transmit energy small distances.
Electromagnetic waves are generated when an electrical charge accelerates. The static electromagnetic field is disturbed by the acceleration in such a way that it forms true waves. The waves can move energy large distances at the speed of light. However, the waves emerge a significant distance from the electric charge.
The near field approximation is still valid close to the electric charge, even when the electric charge accelerates. The electromagnetic wave per se is something that assembles a distance from the electric charge.
The gravitational field line is bound to the event horizon like a jump rope is bound to a chid's hand when she hold it. Obviously, a jump rope can't move relative to the hand that tightly holds the end. This grasp of a child's hand on the jump rope is analogous to the stoppage of time at the event horizon.
When the child's hand moves, energy is transferred to the jump rope. Now the behavior of the rope near the child's hand can not be described as a true wave. It is better described by the theory of elastic forces. If the hand does not move, then the grip forms a strain field in the region where the hand and rope join. The stress field of the hand can't transport energy large distances.
When the child hands moves back and forth, a true wave is formed that travels the entire rope. The displacement of the rope can be characterized by a true wave. The wave can be carry energy from one child's hand to another. However, the region near the hand is still describable by a stress field.
There are all sorts of waves that are set up in all sorts of fields. In general, the waves are a far field phenomenon. These 'real waves' emerge a significant distance from the source of the field (i.e., the charge).
The region near the source has to be described by a near field model. Basically, they are 'virtual waves' in that they could conglomerate a distance from the source to form 'real waves'. Virtual waves have a whole lot of unwave-like behavior.
The gravitational field near the event horizon most likely behaves in a static fashion. The gravitational waves should be seen as something that forms far from the event horizon.
Class, dismissed!
