of
Stephen J. Crothers
2. On the Ramifications of the Schwarzschild Space-Time Metric.
3. On the Geometry of the General Solution for the Vacuum Field.
4. On the Generalisation of Kepler's 3rd Law for the Vacuum Field of the Point-Mass.
5. On Line Elements: A Correction.
6. On the Vacuum Field of a Sphere of Incompressible Fluid.
ERRATUM: In the paragraph immediately before equation (13), replace the words "... cannot be solved exactly..." with the words "... cannot be easily solved exactly ...".
9. A Short Discussion of Relativistic Geometry.
10. A Brief History of Black Holes.
A non-mathematical history of the black hole fallacy with reference to the historical documents (and links thereto in most cases).
11. On Isotropic Coordinates and Einstein's Gravitational Field.
12. On the Regge-Wheeler Tortoise and the Kruskal-Szekeres Coordinates.
13. Planck Particles and Quantum Gravity.
14. Relativistic Cosmology Revisited.
ERRATUM: There is an error in this paper; an unsuccessfully attempted correction is in paper 16; finally resolved in paper 17. The reader is therefore referred directly to paper 17.
15. Gravitation On a Spherically Symmetric Metric Manifold.
16. On the 'Size' of Einstein's Spherically Symmetric Universe.
ERRATUM: This paper contains an error which is fully resolved in paper 17.
17. On Certain Conceptual Anomalies in Einstein's Theory of Relativity
18. Black Holes, Unicorns and All that Jazz
19. Serious anomalies in the reported geometry of Einstein’s gravitational field
An invited paper for the conference 'Riemannian Geometry and Applications - Riga, 2008.
20. Concerning Fundamental Mathematical and Physical Defects in the General Theory of Relativity
A paper for 'The 20th International Congress of The Jangjeon Mathematical Society', Bursa, Turkey, August 21-23, 2008.
21. Your article in Nature - ''Bringing black holes into focus''
My criticisms of a very silly article by Dr. Chris Reynolds of the University of Maryland, whose essay appeared in the journal Nature online, 2008.
22. On Theoretical Contradictions and Physical Misconceptions in the General Theory of Relativity
A poster paper presented at the conference 'Physical Interpretations of Relativity Theory', UK, 2008.
23. The Black Hole Catastrophe And The Collapse Of Spacetime
An invited paper for the 'Conference On Precession & Ancient Knowledge', October 3-5, 2008, University of California, San Diego, USA.
24. Fundamental Errors in the General Theory of Relativity
An invited chapter for a book of collected monographs, entitled Criticisms Of The Einstein Field Equation, by a number of scientists. 2008.
25. Crothers' Investigations into the Theory of Relativity
An invited Appendix to the book, Hadronic Mathematics, Mechanics & Chemistry, Vol. 1, (by Professor Ruggero M. Santilli), 2008.
26. Geometric and Physical Defects in the Theory of Black Holes
An invited paper for the conference Mathematical Sciences for Advancement of Science and Technology (MSAST 2008), nstitute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC), Salt Lake City, Kolkata (Calcutta), India, December 22–23.
27. The Schwarzschild Solution and its Implications for Gravitational Waves: Part I
Submission for the conference SPESIF-2009, Huntsville, AL, Von Braun Center, February 24-27, 2009; Space, Propulsion and Energy Sciences International Forum.
28. The Schwarzschild Solution and its Implications for Gravitational Waves: Part II
Submission for the conference SPESIF-2009, Huntsville, AL, Von Braun Center, February 24-27, 2009; Space, Propulsion and Energy Sciences International Forum.
29. The Schwarzschild Solution and its Implications for Gravitational Waves
A paper presented in Munich on 10th March 2009 at a conference convened by the German Physical Society.
30. The Schwarzschild Solution and its Implications for Gravitational Waves
Another vesion for the 16th Natural Philosophy Alliance Conference, 25-29 May, 2009,
University of Connecticut, Mathematics Department, USA.
31. The Schwarzschild Solution and its Implications for Gravitational Waves
Another vesion for the conference: Mathematics, Physics and Philosophy in the Interpretations of Relativity Theory, Budapest, 4–6 September, 2009.
32. Why Einstein gravitational waves are fictitious
This short essay explains why Einstein gravitational waves are fallacious, without any mathematics.
33. The Schwarzschild Solution and its Implications for Gravitational Waves
My video conference for the Natural Philosophy Alliance (NPA).
34. Kruskal-Szekeres Extension: Counter-Examples
This paper adduces counter-examples demonstrating that the Kruskal-Szekeres "coordinates" do not extend the "Schwarzschild" manifold, because the "Schwarzschild solution" is maximal.
35. The Fictitious 'Interior' of Schwarzschild Spacetime (and a couple of other fallacies)
Using simple diagrams containing circles, this paper shows how the black hole is actually conjured up from the "Schwarzschild solution" and hence its invalidity.
36. The Black hole Catastrophe: A Reply to J. J. Sharples
Dr. Jason J. Sharples is a mathematician at the University of New South Wales, Australian Defence Force Academy, in Canberra. He attacks and ridicules me in this article. In my reply to Sharples, I demonstrate that it is he, not I, who is ridiculous. Sharples tries to extend an inextendible manifold, confuses labels with the form of the metric, falsely asserts that radial distance does not depend on the form of the metric, and introduces Newtonian two-body relations into what is allegedly, by construction, a one-body problem (but which is in fact a no-body problem, by construction; i.e. Rμν = 0). Sharples' defence of the ludicrous black hole is futile.
Page updated: 12th December 2009