Casimir energy–momentum tensor for curved boundaries in de Sitter space-time

2018 ◽  
Vol 50 (8) ◽  
Author(s):  
Mahshid Nejad Nik ◽  
Zahra Cheraghi Shamami
Keyword(s):  
Energy Momentum Tensor ◽  
De Sitter Space ◽  
Casimir Energy ◽  
Momentum Tensor ◽  
Space Time ◽  
De Sitter ◽  
Curved Boundaries

scholarly journals Twisted string theory in anti-de Sitter space

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Songyuan Li ◽  
Jan Troost
Keyword(s):  
String Theory ◽  
Boundary Energy ◽  
Three Dimensional ◽  
De Sitter Space ◽  
Momentum Tensor ◽  
Space Time ◽  
De Sitter ◽  
World Sheet ◽  
The World ◽  
Time Boundary

Abstract We construct a string theory in three-dimensional anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We study string theories with an asymptotic N = 2 superconformal symmetry and demonstrate that, when the world sheet coupling to the space-time boundary metric undergoes a U(1) R-symmetry twist, the space-time boundary energy-momentum tensor becomes topological. As a by-product of our analysis, we obtain the world sheet vertex operator that codes the space-time energy-momentum for conformally flat boundary metrics.

CASIMIR EFFECT FOR THE ROBIN SURFACES IN STATIC ROBERTSON–WALKER SPACE–TIME

2011 ◽  
Vol 20 (02) ◽  
pp. 161-168 ◽  
Author(s):  
MOHAMMAD R. SETARE ◽  
M. DEHGHANI
Keyword(s):  
Scalar Field ◽  
Energy Momentum Tensor ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Robin Boundary Condition ◽  
Momentum Tensor ◽  
Space Time ◽  
Conformally Invariant ◽  
Time Space ◽  
Robin Boundary

We investigate the energy–momentum tensor for a massless conformally coupled scalar field in the region between two curved surfaces in k = -1 static Robertson–Walker space–time. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Robertson–Walker space–time space is conformally related to Rindler space; as a result we can obtain vacuum expectation values of the energy–momentum tensor for a conformally invariant field in Robertson–Walker space–time space from the corresponding Rindler counterpart by the conformal transformation.

Sign in / Sign up

Export Citation Format

Share Document