scholarly journals Dynamical breaking and restoration of chiral and color symmetries in the static Einstein universe

2007 ◽  
Vol 76 (6) ◽  
Author(s):  
D. Ebert ◽  
A. V. Tyukov ◽  
V. Ch. Zhukovsky
Keyword(s):  
Einstein Universe ◽  
Static Einstein Universe ◽  
Dynamical Breaking

scholarly journals Gauge × gauge = gravity on homogeneous spaces using tensor convolutions

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
L. Borsten ◽  
I. Jubb ◽  
V. Makwana ◽  
S. Nagy
Keyword(s):  
Homogeneous Spaces ◽  
Gauge Fields ◽  
Convolution Product ◽  
Tensor Fields ◽  
Einstein Universe ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Static Einstein Universe ◽  
Definition Of ◽  
Gauge Gravity

Abstract A definition of a convolution of tensor fields on group manifolds is given, which is then generalised to generic homogeneous spaces. This is applied to the product of gauge fields in the context of ‘gravity = gauge × gauge’. In particular, it is shown that the linear Becchi-Rouet-Stora-Tyutin (BRST) gauge transformations of two Yang-Mills gauge fields generate the linear BRST diffeomorphism transformations of the graviton. This facilitates the definition of the ‘gauge × gauge’ convolution product on, for example, the static Einstein universe, and more generally for ultrastatic spacetimes with compact spatial slices.

scholarly journals Pion condensation of quark matter in a static Einstein universe

2008 ◽  
Vol 58 (1) ◽  
pp. 57-68 ◽  
Author(s):  
D. Ebert ◽  
K. G. Klimenko ◽  
A. V. Tyukov ◽  
V. C. Zhukovsky
Keyword(s):  
Quark Matter ◽  
Einstein Universe ◽  
Pion Condensation ◽  
Static Einstein Universe

The renormalized coupling constant in an open static Einstein universe

1983 ◽  
Vol 37 (16) ◽  
pp. 576-576
Author(s):  
Jia-Zhu Wang
Keyword(s):  
Coupling Constant ◽  
Einstein Universe ◽  
Static Einstein Universe

scholarly journals On the Energy-Momentum Problem in Static Einstein Universe

2007 ◽  
Vol 24 (2) ◽  
pp. 355-358 ◽  
Author(s):  
S Aygün ◽  
I Tarhan ◽  
H Baysal
Keyword(s):  
Einstein Universe ◽  
Static Einstein Universe

scholarly journals On eddington's problem of the expansion of the universe by condensation

1933 ◽  
Vol 140 (841) ◽  
pp. 269-276
Keyword(s):  
Equilibrium State ◽  
Static Condition ◽  
Einstein’S Field Equations ◽  
Field Equations ◽  
Einstein Universe ◽  
Einstein's Field Equations ◽  
Present Universe ◽  
Expansion Of The Universe ◽  
Static Einstein Universe ◽  
The Universe

1.The discovery of the general receding motion of the spiral nebulae by Hubble lent importance to the Friedmann-Lemaître solution of Einstein’s field equations and it was promptly suggested that our present universe started from a static condition, and owing to certain unknown causes began expanding and has since been doing so continuously. Eddington* pointed out that the static Einstein universe was unstable and so “exploded” (as Eddington put it) in some past age. Eddington suggested that the reason for explosion was the condensation of matter into stellar bodies out of the nebular mass uniformly filling up the Einstein universe. McCrea† and McVittie, working on this idea, proposed a proof showing that for a single condensation the universe would start contracting, but for more condensations start expanding from the equilibrium state. This proof they have recently withdrawn as being erroneous. Meanwhile, Lemaître§ himself enunciated a theorem stating that condensation itself could not cause expansion or contraction, but it was the stagnation of energy (ultimately amounting to condensation) which disturbed the equilibrium and caused the universe to swell up, but McCrea and McVittie showed that his proof was incorrect. Eddington’s problem thus remains where it was when first proposed. In this note we give a proof which shows that condensations, no matter whatever be their number, would start expansion of the Einstein universe.

scholarly journals On Thermodynamic Equilibrium in a Static Einstein Universe

1931 ◽  
Vol 17 (3) ◽  
pp. 153-160 ◽  
Author(s):  
R. C. Tolman
Keyword(s):  
Thermodynamic Equilibrium ◽  
Einstein Universe ◽  
Static Einstein Universe

The renormalized coupling constant in an open static einstein universe

1983 ◽  
Vol 36 (18) ◽  
pp. 614-618
Author(s):  
Jia-Zhu Wang
Keyword(s):  
Coupling Constant ◽  
Einstein Universe ◽  
Static Einstein Universe

scholarly journals Holes in the static Einstein universe and a model of the cosmological voids

2009 ◽  
Vol 80 (10) ◽  
Author(s):  
Andrzej Odrzywołek
Keyword(s):  
Einstein Universe ◽  
Static Einstein Universe

scholarly journals When Painlevé–Gullstrand coordinates fail

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Valerio Faraoni ◽  
Geneviève Vachon
Keyword(s):  
Initial Velocity ◽  
Free Fall ◽  
De Sitter Space ◽  
De Sitter ◽  
Einstein Universe ◽  
Horizon Thermodynamics ◽  
Repulsive Gravity ◽  
Static Einstein Universe ◽  
Inner Region ◽  
Quasilocal Mass

Abstract Painlevé–Gullstrand coordinates, a very useful tool in spherical horizon thermodynamics, fail in anti-de Sitter space and in the inner region of Reissner–Nordström. We predict this breakdown to occur in any region containing negative Misner–Sharp–Hernandez quasilocal mass because of repulsive gravity stopping the motion of PG observers, which are in radial free fall with zero initial velocity. PG coordinates break down also in the static Einstein universe for completely different reasons. The more general Martel-Poisson family of charts, which normally has PG coordinates as a limit, is reported for static cosmologies (de Sitter, anti-de Sitter and the static Einstein universe).

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