Asymptotic behaviour near past null infinity for scattering problems

1977 ◽  
Vol 55 (10) ◽  
pp. 855-860 ◽  
Author(s):  
Martin Walker
Keyword(s):  
Asymptotic Behaviour ◽  
Impact Parameter ◽  
Approximation Scheme ◽  
Flat Space ◽  
Difficult Problem ◽  
Space Time ◽  
The Other ◽  
Null Infinity ◽  
Scattering Problems ◽  
Gravitational Systems

The following problem is treated: two particles move toward each other from infinity with equal but opposite velocities and finite impact parameter. Each particle is deflected by the field of the other. The particles recede, finally, back out to infinity. Electromagnetic and gravitational interactions between the particles are considered. It is shown, in both cases, that the use of retarded interactions, in an approximation scheme which begins with no interaction in flat space-time, guarantees the absence of incoming radiation. This result may be of relevance to the much more difficult problem of the description of bounded, isolated, gravitational systems.

scholarly journals Asymptotic symmetries at null-infinity for the Rarita-Schwinger field with magnetic term

2021 ◽  
Author(s):  
Bilyana Lyudmilova Tomova
Keyword(s):  
Magnetic Charge ◽  
Flat Space ◽  
Space Time ◽  
Boundary Term ◽  
Null Infinity ◽  
Dimensional Algebra ◽  
Asymptotically Flat ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Asymptotic Symmetries

Abstract In this paper we study the magnetic charges of the free massless Rarita-Schwinger field in four dimensional asymptotically flat space-time. This is the first step towards extending the study of the dual BMS charges to supergravity. The magnetic charges appear due to the addition of a boundary term in the action. This term is similar to the theta term in Yang-Mills theory. At null-infinity an infinite dimensional algebra is discovered, both for the electric and magnetic charge.

scholarly journals EXACT STRING SOLUTIONS IN (2 + 1)-DIMENSIONAL DE SITTER SPACE-TIME

1994 ◽  
Vol 09 (29) ◽  
pp. 2745-2754 ◽  
Author(s):  
H. J. DE VEGA ◽  
A. V. MIKHAILOV ◽  
N. SÁNCHEZ
Keyword(s):  
Flat Space ◽  
De Sitter Space ◽  
Space Time ◽  
The Other ◽  
De Sitter ◽  
Expansion Factor ◽  
New Feature ◽  
The Universe ◽  
Time Analogy

Exact and explicit string solutions in de Sitter space-time are found. (Here, the string equations reduce to a sinh-Gordon model). A new feature without flat space-time analogy appears: starting with a single worldsheet, several (here two) strings emerge. One string is stable and the other (unstable) grows as the universe grows. Their invariant size and energy either grow as the expansion factor or tend to constant. Moreover, strings can expand (contract) for large (small) universe radius at a different rate than the universe does.

The scalar wave equation in a Schwarzschild space-time

1979 ◽  
Vol 367 (1731) ◽  
pp. 503-525 ◽  
Keyword(s):  
Wave Equation ◽  
Rest Mass ◽  
Flat Space ◽  
Cauchy Data ◽  
Space Time ◽  
Scalar Wave ◽  
Spatial Infinity ◽  
Null Infinity ◽  
Scalar Wave Equation ◽  
Near Future

This paper studies the asymptotic behaviour of solutions of the zero rest mass scalar wave equation in the Schwarzschild space-time in a neighbourhood of spatial infinity which includes parts of future and past null infinity. The behaviour of such fields is essentially different from that which occurs in a flat space-time. In particular fields which have a Bondi-type expansion in powers of ' r -1 ’ near past null infinity do not have such an expansion near future null infinity. Further solutions which have physically reasonable Cauchy data probably fail to have Bondi-type expansions near null infinity.

NULL INFINITY, H-SPACE AND EQUATIONS OF MOTION

2006 ◽  
Vol 15 (12) ◽  
pp. 2317-2322
Author(s):  
CARLOS KOZAMEH ◽  
EZRA T. NEWMAN ◽  
GILBERTO SILVA-ORTIGOZA
Keyword(s):  
Equations Of Motion ◽  
Flat Space ◽  
Space Time ◽  
Physical Significance ◽  
Null Infinity ◽  
Asymptotically Flat ◽  
Analytic Curve ◽  
Special Space

We discuss the existence, arising by analogy to that in algebraically special space–times, of a unique asymptotically shear-free congruence in any asymptotically flat space–time. Associated with this, is a unique complex analytic curve in H-space. The surprising potential physical significance of this curve is discussed.

scholarly journals Regularity at space-like and null infinity

2008 ◽  
Vol 8 (1) ◽  
pp. 179-208 ◽  
Author(s):  
Lionel J. Mason ◽  
Jean-Philippe Nicolas
Keyword(s):  
Wave Equation ◽  
Vector Field ◽  
Flat Space ◽  
Space Time ◽  
Scalar Wave ◽  
Null Infinity ◽  
Field Methods ◽  
Scalar Wave Equation ◽  
Schwarzschild Metric ◽  
Delay Space

AbstractWe extend Penrose's peeling model for the asymptotic behaviour of solutions to the scalar wave equation at null infinity on asymptotically flat backgrounds, which is well understood for flat space-time, to Schwarzschild and the asymptotically simple space-times of Corvino–Schoen/Chrusciel–Delay. We combine conformal techniques and vector field methods: a naive adaptation of the ‘Morawetz vector field’ to a conformal rescaling of the Schwarzschild metric yields a complete scattering theory on Corvino–Schoen/Chrusciel–Delay space-times. A good classification of solutions that peel arises from the use of a null vector field that is transverse to null infinity to raise the regularity in the estimates. We obtain a new characterization of solutions admitting a peeling at a given order that is valid for both Schwarzschild and Minkowski space-times. On flat space-time, this allows larger classes of solutions than the characterizations used since Penrose's work. Our results establish the validity of the peeling model at all orders for the scalar wave equation on the Schwarzschild metric and on the corresponding Corvino–Schoen/Chrusciel–Delay space-times.

scholarly journals Notes on gravity multiplet correlators in AdS3 × S3

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Congkao Wen ◽  
Shun-Qing Zhang
Keyword(s):  
Recursion Relation ◽  
Conformal Symmetry ◽  
Flat Space ◽  
The Other ◽  
Tree Level ◽  
Space Limit ◽  
Compact Expression ◽  
Tensor Multiplet ◽  
R Symmetry

Abstract We present a compact formula in Mellin space for the four-point tree-level holographic correlators of chiral primary operators of arbitrary conformal weights in (2, 0) supergravity on AdS3× S3, with two operators in tensor multiplet and the other two in gravity multiplet. This is achieved by solving the recursion relation arising from a hidden six-dimensional conformal symmetry. We note the compact expression is obtained after carefully analysing the analytic structures of the correlators. Various limits of the correlators are studied, including the maximally R-symmetry violating limit and flat-space limit.

STRONG AND WEAK FORMS OF THE METHOD OF MOMENTS AND THE COUPLED DIPOLE METHOD FOR SCATTERING OF TIME-HARMONIC ELECTROMAGNETIC FIELDS

1992 ◽  
Vol 03 (03) ◽  
pp. 583-603 ◽  
Author(s):  
AKHLESH LAKHTAKIA
Keyword(s):  
Electromagnetic Fields ◽  
Method Of Moments ◽  
Electromagnetic Scattering ◽  
Final Section ◽  
The Other ◽  
Numerical Techniques ◽  
Scattering Problems ◽  
Time Harmonic

Algorithms based on the method of moments (MOM) and the coupled dipole method (CDM) are commonly used to solve electromagnetic scattering problems. In this paper, the strong and the weak forms of both numerical techniques are derived for bianisotropic scatterers. The two techniques are shown to be fully equivalent to each other, thereby defusing claims of superiority often made for the charms of one technique over the other. In the final section, reductions of the algorithms for isotropic dielectric scatterers are explicitly given.

Las mentiras en Pedro Páramo

Revue Romane ◽  
2015 ◽  
Vol 50 (1) ◽  
pp. 68-80
Author(s):  
Pol Popovic Karic
Keyword(s):  
Specific Area ◽  
Space Time ◽  
The Other ◽  
Juan Rulfo ◽  
The Novel ◽  
Pedro Paramo

Four types of lies will be analyzed in the novel Pedro Paramo by Juan Rulfo. Each one stems from a specific area: space, time, love and death. These lies are complementary; the first two permeate into the other two and these complement each other forming a circle of ambiguity and uncertainty in the narrative.

Sign in / Sign up

Export Citation Format

Share Document