Long-range scalar field in conformally flat space-time

1978 ◽  
Vol 17 (8) ◽  
pp. 631-634 ◽  
Author(s):  
M. M. Som ◽  
N. O. Santos
Keyword(s):  
Scalar Field ◽  
Long Range ◽  
Flat Space ◽  
Space Time ◽  
Conformally Flat

scholarly journals GLOBAL MONOPOLES AND SCALAR FIELDS AS THE ELECTROGRAVITY DUAL OF SCHWARZSCHILD SPACE–TIME

2001 ◽  
Vol 16 (18) ◽  
pp. 1193-1200 ◽  
Author(s):  
NARESH DADHICH ◽  
NARAYAN BANERJEE
Keyword(s):  
Scalar Field ◽  
Equation Of State ◽  
Scalar Fields ◽  
Flat Space ◽  
Space Time ◽  
Global Monopole ◽  
Schwarzschild Solution ◽  
State Formula ◽  
Global Monopoles ◽  
First Time

We prove that both global monopole and minimally coupled static zero mass scalar field are electrogravity dual of the Schwarzschild solution or flat space and they share the same equation of state, [Formula: see text]. This property was however known for the global monopole space–time while it is for the first time being established for the scalar field. In particular, it turns out that the Xanthopoulos–Zannias scalar field solution is dual to flat space.

Perfect fluid in a conformally flat space time

1980 ◽  
Vol 13 (1) ◽  
pp. 191-197 ◽  
Author(s):  
M M Som ◽  
N O Santos
Keyword(s):  
Perfect Fluid ◽  
Flat Space ◽  
Space Time ◽  
Conformally Flat

Fluid with heat flux in a conformally flat space-time

1982 ◽  
Vol 25 (10) ◽  
pp. 2518-2520 ◽  
Author(s):  
S. R. Maiti
Keyword(s):  
Heat Flux ◽  
Flat Space ◽  
Space Time ◽  
Conformally Flat

scholarly journals Hypersurfaces in a conformally flat space with curvature collineation

1991 ◽  
Vol 14 (3) ◽  
pp. 595-604
Author(s):  
K. L. Duggal ◽  
R. Sharma
Keyword(s):  
Fundamental Problem ◽  
Energy Condition ◽  
Shape Operator ◽  
Flat Space ◽  
Space Time ◽  
Conformally Flat ◽  
Direct Relation ◽  
Shape Operators

We classify the shape operators of Einstein and pseudo Einstein hypersurfaces in a conformally flat space with a symmetry called curvature collineation. We solve the fundamental problem of finding all possible forms of non-diagonalizable shape operators. A physical example of space-time with matter is presented to show that the energy condition has direct relation with the diagonalizability of shape operator.

scholarly journals Divergence-free quantum electrodynamics in locally conformally flat space–time

2021 ◽  
Vol 36 (13) ◽  
pp. 2150083
Author(s):  
John Mashford
Keyword(s):  
Quantum Electrodynamics ◽  
Fock Space ◽  
Grassmann Algebra ◽  
Flat Space ◽  
Space Time ◽  
Conformally Flat ◽  
Direct Sums ◽  
Spectral Regularization ◽  
Locally Conformally Flat ◽  
Divergence Free

This paper describes an approach to quantum electrodynamics (QED) in curved space–time obtained by considering infinite-dimensional algebra bundles associated to a natural principal bundle [Formula: see text] associated with any locally conformally flat space–time, with typical fibers including the Fock space and a space of fermionic multiparticle states which forms a Grassmann algebra. Both these algebras are direct sums of generalized Hilbert spaces. The requirement of [Formula: see text] covariance associated with the geometry of space–time, where [Formula: see text] is the structure group of [Formula: see text], leads to the consideration of [Formula: see text] intertwining operators between various spaces. Scattering processes are associated with such operators and are encoded in an algebra of kernels. Intertwining kernels can be generated using [Formula: see text] covariant matrix-valued measures. Feynman propagators, fermion loops and the electron self-energy can be given well-defined interpretations as such measures. Divergence-free calculations in QED can be carried out by computing the spectra of these measures and kernels (a process called spectral regularization). As an example of the approach the precise Uehling potential function for the [Formula: see text] atom is calculated without requiring renormalization from which the Uehling contribution to the Lamb shift can be calculated exactly.

QUANTUM CYLINDRICAL WAVES AND PARAMETRIZED FIELD THEORY

2006 ◽  
Vol 15 (10) ◽  
pp. 1743-1752 ◽  
Author(s):  
MADHAVAN VARADARAJAN
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Quantum Gravity ◽  
Flat Space ◽  
Space Time ◽  
Gravitational Fields ◽  
Cylindrical Waves ◽  
Cylindrically Symmetric ◽  
Gravity Effects ◽  
Free Scalar

In this article, we review some illustrative results in the study of two related toy models for quantum gravity, namely cylindrical waves (which are cylindrically symmetric gravitational fields)and parametrized field theory (which is just free scalar field theory on a flat space–time in generally covariant disguise). In the former, we focus on the phenomenon of unexpected large quantum gravity effects in regions of weak classical gravitational fields and on an analysis of causality in a quantum geometry. In the latter, we focus on Dirac quantization, argue that this is related to the unitary implementability of free scalar field evolution along curved foliations of the flat space–time and review the relevant results for unitary implementability.

scholarly journals BRANE WORLD IN A TOPOLOGICAL BLACK HOLES IN ASYMPTOTICALLY FLAT SPACE–TIME

2001 ◽  
Vol 16 (26) ◽  
pp. 1703-1710 ◽  
Author(s):  
DONAM YOUM
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Flat Space ◽  
Space Time ◽  
Brane World ◽  
Black Hole Horizon ◽  
World Model ◽  
Asymptotically Flat ◽  
Bulk Scalar Field

We study static brane configurations in the bulk background of the topological black holes in asymptotically flat space–time and find that such configurations are possible even for flat black hole horizon, unlike the AdS black hole case. We construct the brane world model with an orbifold structure S1/Z2 in such bulk background and study massless bulk scalar field.

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