The whole dark matter concept is a patch up band-aid to save big bang from the dustbin of scientific history. It is futile. Einstein’s field equations for the static vacuum gravitational field, i.e. Ric = 0, violate his ‘Principle of Equivalence’ – the equivalence of gravitational and inertial mass, and the laws of Special Relativity, cannot manifest in a spacetime which is by definition empty, that contains no matter. QED. Consequently, if his energy-momentum tensor is zero there is no Einstein gravitational field. Hence his field equations take the following form:

Gij/k + Tij = 0, (subscripts)i,j = 0,1,2,3, k = constant,

wherein the Gij/k are the components of a gravitational energy tensor. Thus the total energy of the gravitational field is always zero; the Gij/k and Tij must vanish identically; there is no possibility for the localisation of gravitational energy (i.e. there is no possibility for Einstein’s gravitational waves). Moreover, this means that Einstein’s General Theory of Relativity violates the experimentally well established conservation of energy and momentum, so if the usual conservation of energy and momentum is valid (bearing in mind that there is no experimental evidence to refute it) then Einstein’s General Theory of Relativity is invalid. Also, Einstein invented his pseudo-tensor by which he and subsequent big bangers and LIGOers claim that his gravitational energy can be localized. However, Einstein’s pseudo-tensor is a meaningless concoction of mathematical symbols for the following reason – it implies the existence of a 1st-order
intrinsic differential invariant which depends only upon the components of the metric tensor and their 1st-derivatives (to see this just contract his pseudo-tensor and apply Euler’s theorem). But the pure mathematicians G. Ricci-Curbastro and T. Levi-Civita proved in 1900 that such invariants do not exist! In addition, Einstein and the subsequent big bangers and LIGOers resort to linearisation of Einstein’s field equations to localize his gravitational energy. This too is nonsense, because linearisation implies the existence of a tensor which, except for the particular case of being precisely zero, does not otherwise exist, as proven by H. Weyl in 1944. So the big bangers and the LIGOers and their international counterparts such as the AIGO in Australia and VIRGO in Europe, are all destined to detect nothing.

As for black hole collisions, mergers and binaries producing gravitational waves, that too is nonsense by the foregoing. To amplify, let’s assume for the sake of argument that black holes are predicted by General Relativity. The simplest black hole is the so-called “Schwarzschild black hole”, obtained from Ric = 0, which is a statement that there is no matter in the Universe. Since the ‘Principle of Superposition’ does not apply in Einstein’s theory, owing to it being non-linear, one cannot, by an analogy with Newton’s theory (where the Principle of Superposition holds), just arbitrarily insert lumps of matter into any given spacetime for his gravitational field. Now according to the black holers and gravitational wavers , two “Schwarzschild” black holes (concocted by stupidly applying the ‘Principle of Superposition’ of Newton’s theory), each obtained separately from Ric = 0 (an empty spacetime), can mutually interact in a mutual spacetime that by definition contains no matter! That is nonsense, but the simplicity of it escapes their poor brains. However the issue is moot, since black holes are in fact forbidden by the Theory of Relativity (it forbids infinite densities), and owing to the violation of the usual conservation of energy and momentum, General Relativity is invalid.

For those who want the mathematical proofs, go here:

http://www.ptep-online.com/index_files/2008/PP-12-11.PDF

And here: http://www.ptep-online.com/index_files/2007/PP-09-14.PDF