The Question of Space-Time Singularities in General Relativity and Einsteins Errors
anti-gravity coupling; dynamic solution; gravitational radiation; repulsive gravitation; principle of causality
Abstract
In general relativity, the existence of space-time singularities plays a central role on the notion of black holes and the expanding universe. However, these two speculations have not been firmly verified in spite of the efforts of generations of physicists. The existence of space-time singularities is due to the spacetime singularity theorems of Hawking and Penrose, whose implicit physical assumption is the general validity of E = mc 2 that leads to the unique sign for all the couplings. However, recently it is found that such an assumption is not supported by various experiments. In particular, the electromagnetic energy is not equivalent to mass. In fact, the Einstein equation with massive sources has no dynamic solution unless the gravitational energystress tensor with an anti-gravity coupling is added to the source.
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R Wald (1984) General Relativity. 87.
K Thorne (1994) Black Holes and Time Warps.
A Einstein (1946) E = mc 2 ' (from Science Illustrated.
C Lo (2012) On the Weight Reduction of Metals due to Temperature Increments. 12(7).
Takaaki Musha (2008) Explanation of the Dynamical Biefeld-Brown Effect from the Standpoint of the ZPF Field. 61, 379-384.
C Lo (2012) Unknown Title. 25(4), 553-560.
C Lo (1997) Unknown Title. 477, 700-704.
H Bondi, F Pirani, I Robinson (1959) Unknown Title. 251, 519-533.
C Lo (2010) On the question of gauge invariance in physics and Einstein's covariance principle. 23(3), 491-499.
E Giannetto (2014) Once Upon Einstein. 40(29), 8603-8604.
C Lo (1995) Unknown Title. 455, 421-428.
S Editor, Chandrasekhar a Nobel Laureate, suggests and approves the Appendix: The Gravitational Energy-Stress Tensor for the necessity of modifying Einstein equation.
C Lo (1999) Compatibility with Einstein's Notion of Weak Gravity: Einstein's Equivalence Principle and the Absence of Dynamic Solutions for the 1915 Einstein Equation. 12(3), 508-526.
C Lo (2000) On the Incompatibility of Gravitational Radiation with the 1915 Einstein Equation. 13(4), 527-539.
C Lo (2013) The Non-linear Einstein Equation and Conditionally Validity of its Linearization. 3(6).
A Einstein, H Lorentz, H Minkowski, H Weyl (1923) The Principle of Relativity.
A Einstein (1954) The Meaning of Relativity.
S Weinberg (1972) Gravitation and Cosmology. 273.
V Fock (1957) Unknown Title. 29, 325.
C Misner, K Thorne, J Wheeler (1973) Gravitation.
C Lo (1997) Duality of Electromagnetic Waves, Causality on Gravity, and the Necessity for Modification in the Einstein Equation. 10(3), 424-436.
T Damour (1987) The Problem of Motion in Newtonian and Einsteinian Gravity.
R Hulse, J Taylor (1975) Unknown Title. 65, 51.
C Lo (2006) Proc. IX International Sci. Conf. on 'Space, Time, Gravitation.
C Lo (1396) Proc. Sixth Marcel Grossmann Meeting On General Relativity.
Thibault Damour, Bernd Schmidt (1990) Reliability of perturbation theory in general relativity. 31(10), 2441-2453.
P Chruscie, M Mccallum, D Singleton (1995) Unknown Title. 350, 113.
A Einstein, L Infeld, B Hoffmann (1938) Unknown Title. 39(1), 65-100.
Hermann Bondi, M Van Der Burg, A Metzner (1962) Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system. 269(1336), 21-52.
C Lo (2011) Nobel Prize: Einstein was right. 6(11), 7-7.
A Einstein, Sitzungsberi, Preuss (1918) Unknown Title. 1, 144.
Thibault Damour, J Taylor (1991) On the orbital period change of the binary pulsar PSR 1913 + 16. 366, 501.
T Damour, J Taylor (1992) Unknown Title. 45(6), 1840-1868.
C Lo (2010) Rectifiable inconsistencies and related problems in general relativity. 23(2), 258-267.
C Lo (2013) Errors of the Wheeler School, the Distortions to General Relativity and the Damage to Education in MIT Open Courses in Physics. 13(7).
H Lorentz (1916) Unknown Title. 25, 1280.
T Levi-Civita, R (1917) Unknown Title. 5, 381.
A Einstein (1916) Unknown Title. 1, 167.
N Hu, D.-H Zhang, & H.-G Ding (1981) Unknown Title. 30(8), 1003-1010.
C Lo, Richard Hui (2006) Comments on the invalid proof of Einstein on L = mc2 and E = mc2. 31(1), 55-58.
C Lo (2006) The Gravity of Photons and the Necessary Rectification of Einstein Equation. 1, 46-51.
(1998) Einstein's Miraculous Year. 118.
C Lo (2003) Unknown Title. 41(4), 233-343.
C Lo (2012) The Invalid Speculation of m = E/c 2 , the Reissner-Nordstrom Metric, and Einstein's Unification. 25(1), 49-56.
C Pekeris (1982) Gravitational field of a charged mass point. 79(20), 6404-6408.
L Herrera, N Santos, J Skea (2003) Letter: Active Gravitational Mass and the Invariant Characterization of Reissner-Nordström Spacetime. 35(11), 2057-2061.
E Whittaker (1935) Unknown Title. 139, 384.
R Tolman (1930) Unknown Title. 35, 875.
D Yu, V Tsipenyuk, Andreev (2005) Physical Interpretations of the Theory of Relativity Conference.
G 't Hooft (1999) A Confrontation with Infinity.
C Lo, C Wong (2006) Unknown Title. 25(2), 109-117.
A Einstein (1936) Physics and Reality. 311.
A Gullstrand (1921) Unknown Title. 16(8).
A Gullstrand (1922) Corrections. 051(3), 188-188.
Eric Lerner (1991) The big bang never happened. 29(04), 29-2083-29-2083.
W Mitchell (2002) Bye-Bye Big Bang.
D Christodoulou, S Klainerman (1993) The Global Nonlinear Stability of the Minkowski Space.
C Lo (2013) On Contributions of S. T. Yau in Mathematics and Physics Related to General Relativity. 13(4).
C Lo, S Yau (1982) The Errors in the Fields Medals. 13(11), 0.
C Lo, G Goldstein, A Napier (1989) Radiation reaction force and unification of electromagnetic and gravitational fields. 12(2), 75-89.
G Whitrow (1972) Edwin Powell Hubble. 5.
A Whitehead (1962) SELECTION FROM THE GENERAL CATALOGUE OF BOOKS PUBLISHED BY THE CAMBRIDGE UNIVERSITY PRESS. 223-224.
P Dirac (1975) General Theory of Relativity.
Liu Liao (1987) General Relativity. 26-30.
Halton Arp (2005) Halton Arp. 2017(03), 3-6.
H Kragh (1999) Cosmology and Controversy.
Asher Peres (1960) Null Electromagnetic Fields in General Relativity Theory. 118(4), 1105-1110.
R Penrose (1965) Unknown Title. 37(1), 215-220.
W Bonnor (1969) The gravitational field of light. 13(3), 163-174.
C Lo (1994) Causality, Symmetry, Gauge, and Validity of Linearized Gravity for Waves. 7(4), 453-458.
C Lo (1998) Unknown Title. 11(2), 264-272.
W Pauli (1971) Theory of Relativity.
C Lo (2011) Could Galileo be wrong?. 24(4), 477-482.
C Lo (2013) Rectification of General Relativity, Experimental Verifications, and Errors of the Wheeler School. 13, 123-135.
L Okun (1989) The concept of mass (mass, energy, relativity). 158, 511-530.
L Okun (2008) The Einstein formula: E 0 = mc 2 . "Isn't the Lord laughing?". 51(5), 513-527.
L Okun (2000) PHOTONS AND STATIC GRAVITY. 15(31), 1941-1947.
S Hod (2013) A simplified two-body problem in general relativity. 22(12).
Edmund Bertschinger Cosmological Dynamics.
Perlick Volker (1996) Unknown Title. 827, 323.
Perlick Volker (2000) Unknown Title. 32, 761-763.
C Lo (2013) On the Question of a Dynamic Solution in General Relativity. 2(3), 207-224.
C Lo (2000) The Question of Validity of the "Dynamic Solutions" Constructed by Christodoulou and Klainerman. 13(1), 109-120.
A Pais (1982) Subtle is the Lord.
R Schoen, S.-T Yau (1981) Proof of the Positive Mass Theorem. II. 79, 231-260.
Edward Witten (1981) A new proof of the positive energy theorem. 80(3), 381-402.
P Zhou, Chou (1987) Further Experiments to Test Einstein's Theory of Gravitation.
S Weinberg (2000) Book Review: The Quantum Theory of Fields, Volume III: Supersymmetry. Steven Weinberg. Cambridge University Press, New York, New York, 2000, vii-xxii+1-419, 849.95 (hardcover).. 30(7), 1131-1133.
C Lo (2010) On Gauge Invariance in Physics & Einstein's Covariance Principle. 23(3), 491-499.
Walter Isaacson (2008) Einstein-His Life and Universe. 542.
J Norton What was Einstein's Principle of Equivalence?. 1.
J Howard, Stachel (1989) Unknown Title.
C Lo (2015) Incompleteness of General Relativity, Einstein's Errors, and Related Experiments --American Physical Society March meeting. 23, 2135-2147.
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2015-09-08
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