scholarly journals Quantum deformations of space-time symmetries with fundamental mass parameter

Author(s):  
J. Lukierski

1996 ◽  
Vol 371 (3-4) ◽  
pp. 215-222 ◽  
Author(s):  
Jerzy Lukierski ◽  
Pierre Minnaert ◽  
Marek Mozrzymas


2014 ◽  
Vol 1065-1069 ◽  
pp. 437-441
Author(s):  
Hui Bo Liu ◽  
Zhi Guo Zhang ◽  
Chan Ge Liu ◽  
Ming Xiao

Space-time effect of excavation damaged zone (EDZ) has great impact on identifying rock mass parameters in underground excavation engineering. In this paper, methods and models for simulating EDZ are reviewed and classified. Based on mechanism analysis, a practical model using radius-displacement-dependent deformation modulus is proposed for dynamic excavation feedback analysis. In the model, EDZ is viewed as a three dimensional heterogeneous and variable disturbing field of parameter during excavation process. Thus, deformation modulus of EDZ rock mass evolves with space-time change along with construction stages. The model is proved to be available in parameter identification for rapid feedback analysis of underground engineering.



The global structure of Robinson–Trautman space-times is studied. When the space-time topology is R + x R x S 2 it is shown that all Robinson–Trautman space-time can be C 117 extended (in the vacuum Robinson–Trautman class of metrics) beyond the r = 2 m 'Schwarzschild-like' event horizon; evidence is given supporting the conjecture, that no smooth extensions beyond the r = 2 m event horizon exist unless the metric is the Schwarzschild one. When the space-time topology is R + x R x 2 M , with 2 M a higher genus surface, and the mass parameter m is negative, Schwarzchild-like event horizons are shown to occur. The Proofs of these results are based on the derivation of a detailed asymptotic expansion describing the long-time behaviour of the solutions of a nonlinear parabolic equation.



Author(s):  
P. Kosiński ◽  
Jerzy Lukierski ◽  
P. Maślanka


2018 ◽  
Vol 33 (16) ◽  
pp. 1850098 ◽  
Author(s):  
Ravi Shankar Kuniyal ◽  
Rashmi Uniyal ◽  
Anindya Biswas ◽  
Hemwati Nandan ◽  
K. D. Purohit

We investigate the geodesic motion of massless test particles in the background of a noncommutative geometry-inspired Schwarzschild black hole. The behavior of effective potential is analyzed in the equatorial plane and the possible motions of massless particles (i.e. photons) for different values of impact parameter are discussed accordingly. We have also calculated the frequency shift of photons in this space–time. Further, the mass parameter of a noncommutative inspired Schwarzschild black hole is computed in terms of the measurable redshift of photons emitted by massive particles moving along circular geodesics in equatorial plane. The strength of gravitational fields of noncommutative geometry-inspired Schwarzschild black hole and usual Schwarzschild black hole in General Relativity is also compared.



2002 ◽  
Author(s):  
J. B. Kennedy
Keyword(s):  




Author(s):  
Roger Penrose ◽  
Wolfgang Rindler
Keyword(s):  




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