Inextensible Flows of Spacelike Curves in De-Sitter Space S 2,1

2018 ◽  
Vol 6 (2) ◽  
pp. 75-83 ◽  
Author(s):  
Samah Gaber Mohamed
Keyword(s):  
De Sitter Space ◽  
De Sitter ◽  
Inextensible Flows

scholarly journals On new characterization of inextensible flows of space-like curves in de Sitter space

2016 ◽  
Vol 14 (1) ◽  
pp. 946-954 ◽  
Author(s):  
Mustafa Yeneroğlu
Keyword(s):  
De Sitter Space ◽  
De Sitter ◽  
Practical Applications ◽  
Inextensible Flows

AbstractElastica and inextensible flows of curves play an important role in practical applications. In this paper, we construct a new characterization of inextensible flows by using elastica in space. The inextensible flow is completely determined for any space-like curve in de Sitter space $\mathbb{S}_{1}^{3}$. Finally, we give some characterizations for curvatures of a space-like curve in de Sitter space $\mathbb{S}_{1}^{3}$.

scholarly journals Gravitational turbulent instability of anti-de Sitter space

2012 ◽  
Vol 29 (19) ◽  
pp. 194002 ◽  
Author(s):  
Óscar J C Dias ◽  
Gary T Horowitz ◽  
Jorge E Santos
Keyword(s):  
De Sitter Space ◽  
De Sitter

scholarly journals Open quantum entanglement: a study of two atomic system in static patch of de Sitter space

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Samim Akhtar ◽  
Sayantan Choudhury ◽  
Satyaki Chowdhury ◽  
Debopam Goswami ◽  
Sudhakar Panda ◽  
...  
Keyword(s):  
Scalar Field ◽  
Density Matrix ◽  
Master Equation ◽  
Quantum Entanglement ◽  
De Sitter Space ◽  
Thermal Bath ◽  
Massless Scalar Field ◽  
De Sitter ◽  
Open Quantum ◽  
Non Locality

Abstract In this work, our prime objective is to study non-locality and long range effect of two body correlation using quantum entanglement from various information theoretic measure in the static patch of de Sitter space using a two body Open Quantum System (OQS). The OQS is described by a system of two entangled atoms, surrounded by a thermal bath, which is modelled by a massless probe scalar field. Firstly, we partially trace over the bath field and construct the Gorini Kossakowski Sudarshan Lindblad (GSKL) master equation, which describes the time evolution of the reduced subsystem density matrix. This GSKL master equation is characterized by two components, these are-Spin chain interaction Hamiltonian and the Lindbladian. To fix the form of both of them, we compute the Wightman functions for probe massless scalar field. Using this result alongwith the large time equilibrium behaviour we obtain the analytical solution for reduced density matrix. Further using this solution we evaluate various entanglement measures, namely Von-Neumann entropy, R$$e'$$e′nyi entropy, logarithmic negativity, entanglement of formation, concurrence and quantum discord for the two atomic subsystem on the static patch of De-Sitter space. Finally, we have studied violation of Bell-CHSH inequality, which is the key ingredient to study non-locality in primordial cosmology.

scholarly journals Probing Planckian physics in de Sitter space with quantum correlations

2014 ◽  
Vol 351 ◽  
pp. 872-899 ◽  
Author(s):  
Jun Feng ◽  
Yao-Zhong Zhang ◽  
Mark D. Gould ◽  
Heng Fan ◽  
Cheng-Yi Sun ◽  
...  
Keyword(s):  
De Sitter Space ◽  
Quantum Correlations ◽  
De Sitter

Static, self-dual, finite action SU(3) gauge fields in the de sitter space

1980 ◽  
Vol 96 (1-2) ◽  
pp. 105-109 ◽  
Author(s):  
A. Chakrabarti ◽  
A. Comtet ◽  
K.S. Viswanathan
Keyword(s):  
De Sitter Space ◽  
Gauge Fields ◽  
De Sitter ◽  
Finite Action

Wave Equations in the de Sitter Space

1949 ◽  
Vol 76 (2) ◽  
pp. 296-297 ◽  
Author(s):  
Satosi Watanabe
Keyword(s):  
Wave Equations ◽  
De Sitter Space ◽  
De Sitter
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