The Published Papers of

Stephen J. Crothers


1. On the General Solution to Einstein's Vacuum Field and its Implications for Relativistic Degeneracy.

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.

7. On the General Solution to Einstein's Vacuum Field for the Point-Mass when λ ≠ 0 and its Implications for Relativistic Cosmology.

ERRATUM: In the paragraph immediately before equation (13), replace the words "... cannot be solved exactly..." with the words "... cannot be easily solved exactly ...".

8. Introducing Distance and Measurement in General Relativity: Changes for the Standard Tests and the Cosmological Large Scale.

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A non-mathematical history of the black hole fallacy with reference to the historical documents (and links thereto in most cases).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

This paper renders papers 14 and 16 irrelevant. Indeed, it is shown here that Ric = 0 is inadmissible as a description of Einstein's gravitational field because it violates Einstein's 'Principle of Equivalence'. In consequence of this, Einstein's gravitational field equations are in conflict with the usual conservation of energy and momentum. Thus, if the usual conservation of energy and momentum is valid then Einstein's General Theory of Relativity is invalid.

18. Black Holes, Unicorns and All that Jazz

A non-mathematical paper which almost anyone can understand, in which the fallacy of the black hole is fully explained.

19. Concerning Fundamental Mathematical and Physical Defects in the General Theory of Relativity

A paper presented at 'The 20th International Congress of The Jangjeon Mathematical Society', Bursa, Turkey, August 21-23, 2008, on my behalf, by Dr. Garret Sobcyk, with the assistance of Dr. Tolga Yarman.

20. Your article in Nature - ''Bringing black holes into focus''

My criticisms of a very silly article in the online journal of Nature, by Chris Reynolds of the University of Maryland.

21. The Black Hole Catastrophe And The Collapse Of Spacetime

A paper presented at the 'Conference On Precession & Ancient Knowledge', October 3-5, 2008, University of California, San Diego, USA. Although this article contains a number of mathematical expressions, everything can be understood with nothing more than elementary high school algebra. Most of it can be understood without any mathematics at all.

22. Fundamental Errors in the General Theory of Relativity

My invited chapter in a book of collected monographs, entitled 'Criticisms Of The Einstein Field Equation', by a number of scientists.

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Page updated: 30th September 2008