scholarly journals Numerical Geodesic Approximation for Theoretical and Experimental Light Bending Analysis

2016 ◽  
Vol 1 (2) ◽  
Author(s):  
Robert L. Shuler ◽  
Keyword(s):  
Bending Analysis ◽  
Light Bending ◽  
Geodesic Approximation

scholarly journals BMS modular diaries: torus one-point function

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Arjun Bagchi ◽  
Poulami Nandi ◽  
Amartya Saha ◽  
Zodinmawia
Keyword(s):  
Cosmological Solution ◽  
Three Dimensions ◽  
Field Theories ◽  
Point Function ◽  
Asymptotic Structure ◽  
Highest Weight ◽  
Structure Constants ◽  
Flat Spacetimes ◽  
Geodesic Approximation ◽  
Highest Weight Representation

Abstract Two dimensional field theories invariant under the Bondi-Metzner-Sachs (BMS) group are conjectured to be dual to asymptotically flat spacetimes in three dimensions. In this paper, we continue our investigations of the modular properties of these field theories. In particular, we focus on the BMS torus one-point function. We use two different methods to arrive at expressions for asymptotic structure constants for general states in the theory utilising modular properties of the torus one-point function. We then concentrate on the BMS highest weight representation, and derive a host of new results, the most important of which is the BMS torus block. In a particular limit of large weights, we derive the leading and sub-leading pieces of the BMS torus block, which we then use to rederive an expression for the asymptotic structure constants for BMS primaries. Finally, we perform a bulk computation of a probe scalar in the background of a flatspace cosmological solution based on the geodesic approximation to reproduce our field theoretic results.

Pseudononlinear bending analysis of an orthotropic multicell shell structure.

AIAA Journal ◽  
1966 ◽  
Vol 4 (12) ◽  
pp. 2096-2104
Author(s):  
P. E. WILSON ◽  
P. W. ROGERS ◽  
S. N. DHARMARAJAN ◽  
E. M. SLICK
Keyword(s):  
Shell Structure ◽  
Bending Analysis
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