Some remarks on the nonlinear graviton

1979 ◽  
Vol 10 (7) ◽  
pp. 557-565 ◽  
Author(s):  
W. D. Curtis ◽  
D. E. Lerner ◽  
F. R. Miller
Keyword(s):  
Nonlinear Graviton

The nonlinear graviton

1976 ◽  
Vol 7 (2) ◽  
pp. 171-176 ◽  
Author(s):  
Roger Penrose
Keyword(s):  
Nonlinear Graviton

scholarly journals Palatial twistor theory and the twistor googly problem

2015 ◽  
Vol 373 (2047) ◽  
pp. 20140237 ◽  
Author(s):  
Roger Penrose
Keyword(s):  
Holomorphic Functions ◽  
Heisenberg Algebra ◽  
Twistor Theory ◽  
Negative Helicity ◽  
Nonlinear Graviton ◽  
Twistor Description ◽  
Massless Fields

A key obstruction to the twistor programme has been its so-called ‘googly problem’, unresolved for nearly 40 years, which asks for a twistor description of right -handed interacting massless fields (positive helicity), using the same twistor conventions that give rise to left -handed fields (negative helicity) in the standard ‘nonlinear graviton’ and Ward constructions. An explicit proposal for resolving this obstruction— palatial twistor theory —is put forward (illustrated in the case of gravitation). This incorporates the concept of a non-commutative holomorphic quantized twistor ‘Heisenberg algebra’, extending the sheaves of holomorphic functions of conventional twistor theory to include the operators of twistor differentiation.

scholarly journals Complex pp waves and the nonlinear graviton construction

1978 ◽  
Vol 19 (10) ◽  
pp. 2024 ◽  
Author(s):  
W. D. Curtis ◽  
D. E. Lerner ◽  
F. R. Miller
Keyword(s):  
Nonlinear Graviton

The nonlinear graviton in interaction with a photon

1978 ◽  
Vol 9 (11) ◽  
pp. 961-978 ◽  
Author(s):  
Edward J. Flaherty
Keyword(s):  
Nonlinear Graviton

scholarly journals NONLINEAR GRAVITON AS A LIMIT OF sl(N;C) CHIRAL FIELDS AS N→∞

1998 ◽  
Vol 13 (40) ◽  
pp. 3193-3200 ◽  
Author(s):  
MACIEJ PRZANOWSKI ◽  
SEBASTIAN FORMAŃSKI ◽  
FRANCISCO J. TURRUBIATES
Keyword(s):  
Nonlinear Graviton

An example of a sequence of the sl(N;C) chiral fields, for N≥2, tending to the complex heavenly metric (nonlinear graviton) of the type [4]× [-] when N→∞ is given.

scholarly journals Exotica or the failure of the strong cosmic censorship in four dimensions

2015 ◽  
Vol 12 (10) ◽  
pp. 1550121 ◽  
Author(s):  
Gábor Etesi
Keyword(s):  
Cosmological Constant ◽  
Cosmic Censorship ◽  
Twistor Theory ◽  
Wick Rotation ◽  
Four Dimensions ◽  
Precise Formulation ◽  
Ricci Flat ◽  
Lorentzian Metric ◽  
Strong Cosmic Censorship ◽  
Nonlinear Graviton

In this paper, a generic counterexample to the strong cosmic censor conjecture is exhibited. More precisely — taking into account that the conjecture lacks any precise formulation yet — first we make sense of what one would mean by a "generic counterexample" by introducing the mathematically unambigous and logically stronger concept of a "robust counterexample". Then making use of Penrose' nonlinear graviton construction (i.e. twistor theory) and a Wick rotation trick we construct a smooth Ricci-flat but not flat Lorentzian metric on the largest member of the Gompf — Taubes uncountable radial family of large exotic ℝ4's. We observe that this solution of the Lorentzian vacuum Einstein's equations with vanishing cosmological constant provides us with a sort of counterexample which is weaker than a "robust counterexample" but still reasonable to consider as a "generic counterexample". It is interesting that this kind of counterexample exists only in four dimensions.

NONLINEAR GRAVITON AND THE PROBLEM OF MASS GENERATION

2001 ◽  
Vol 16 (14) ◽  
pp. 891-895
Author(s):  
ANNE MAGNON
Keyword(s):  
Higgs Boson ◽  
Quantum Gravity ◽  
Mirror Symmetry ◽  
Higgs Mechanism ◽  
Mass Generation ◽  
Range Interaction ◽  
The Past ◽  
Long Range Interaction ◽  
Nonlinear Graviton ◽  
Shed Light

We argue that the massless mediator of a long range interaction can acquire mass through collision with a nonlinear graviton. The process displays analogy with the Higgs mechanism, and compensates for a broken mirror symmetry (duality), at the past–future bifurcation. Mass is formulated as the electric charge of a suitable state emerging from the particle–antiparticle (self–antiself dual) confrontation. Such considerations suggest that the experimental quest of the Higgs boson could in fact shed light on the (so far theoretical) quantum gravity programme.

Conformal nonlinear graviton

1990 ◽  
Vol 23 (3) ◽  
pp. 229-230
Author(s):  
S. A. Merkulov
Keyword(s):  
Nonlinear Graviton

Supersymmetric nonlinear graviton

1992 ◽  
Vol 26 (1) ◽  
pp. 72-73 ◽  
Author(s):  
S. A. Merkulov
Keyword(s):  
Nonlinear Graviton
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