9,648 research outputs found
Dynamical spacetimes in conformal gravity
The conformal gravity remarkably boosts our prehension of gravity theories.
We find a series of dynamical solutions in the -conformal gravity,
including generalized Schwarzschild-Friedmann-Robertson-Walker (GSFRW), charged
generalized Schwarzschild-Friedmann-Robertson-Walker (CGSFRW), especially
rotating Friedmann-Robertson-Walker (RFRW), charged rotating
Friedmann-Robertson-Walker (CRFRW), and a dynamical cylindrically symmetric
solutions. The RFRW, CRFRW and the dynamical cylindrically symmetric solutions
are never found in the Einstein gravity and modified gravities. The GSFRW and
CGSFRW solutions take different forms from the corresponding solutions in the
Einstein gravity.Comment: 13 pages, no fi
Spinor Decomposition of SU(2) Gauge Potential and The Spinor Structures of Chern-Simons and Chern Density
In this paper, the decomposition of SU(2) gauge potential in terms of Pauli
spinors is studied. Using this decomposition, the spinor strutures of the
Chern-Simons form and the Chern density are obtained. Furthermore, by these
spinor structures, the knot quantum number of non-Abelian gauge theory is
discussed, and the second Chern number is characterized by the Hopf indices and
the Brouwer degrees of -mapping.Comment: 11 page
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