scholarly journals Gravitational memory for uniformly accelerated observers

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
Sanved Kolekar ◽  
Jorma Louko
Keyword(s):  
Accelerated Observers

scholarly journals Nonlocal transformations for accelerated observers

2009 ◽  
pp. NA-NA ◽  
Author(s):  
B. Mashhoon
Keyword(s):  
Accelerated Observers

Accelerated Observers

2013 ◽  
pp. 381-426
Author(s):  
Éric Gourgoulhon
Keyword(s):  
Accelerated Observers

scholarly journals Nonlocal Dirac equation for accelerated observers

2007 ◽  
Vol 75 (4) ◽  
Author(s):  
Bahram Mashhoon
Keyword(s):  
Dirac Equation ◽  
Accelerated Observers

scholarly journals Some conformally separable metrics in flat space and their application to accelerated coordinate frameworks in special relativity

1968 ◽  
Vol 8 (3) ◽  
pp. 515-522
Author(s):  
N. W. Taylor
Keyword(s):  
Special Relativity ◽  
Dimensional Space ◽  
Flat Space ◽  
Two Dimensions ◽  
Time Direction ◽  
Physical Conditions ◽  
Physical Measurements ◽  
Convenient Means ◽  
Accelerated Observers

SummaryIf the metric of an n-dimensional space is taken in the form ds2 = u2dτ2+dσ2, where dτ2 and dσ2 are cartesian metrics of r and (n−r) dimensions, respectively, the various forms of u for flat space are quite simple. The study of accelerated motions in special relativity by various authors has led to four dimensional metrics of this form. Those in which u = ±1 at the space origin for all values of time are of particular interest. They are locally cartesian at the accelerated observer, and so the coordinates in the neighbourhood of the observer correspond directly to physical measurements. Hence, such metrics provide convenient means of describing physical conditions experienced by accelerated observers. If the τ-space contains the time direction and is of one or two dimensions, arbitrary rectilinear motions are allowed.

scholarly journals Non-inertial frames in Minkowski space-time, accelerated either mathematical or dynamical observers and comments on non-inertial relativistic quantum mechanics

2014 ◽  
Vol 11 (10) ◽  
pp. 1450086 ◽  
Author(s):  
Horace W. Crater ◽  
Luca Lusanna
Keyword(s):  
Quantum Mechanics ◽  
Minkowski Space ◽  
Relativistic Quantum ◽  
Classical Mechanics ◽  
Space Time ◽  
Relativistic Quantum Mechanics ◽  
Minkowski Space Time ◽  
Accelerated Observers ◽  
Inertial Frames ◽  
Locality Principle

After a review of the existing theory of non-inertial frames and mathematical observers in Minkowski space-time we give the explicit expression of a family of such frames obtained from the inertial ones by means of point-dependent Lorentz transformations as suggested by the locality principle. These non-inertial frames have non-Euclidean 3-spaces and contain the differentially rotating ones in Euclidean 3-spaces as a subcase. Then we discuss how to replace mathematical accelerated observers with dynamical ones (their world-lines belong to interacting particles in an isolated system) and how to define Unruh–DeWitt detectors without using mathematical Rindler uniformly accelerated observers. Also some comments are done on the transition from relativistic classical mechanics to relativistic quantum mechanics in non-inertial frames.

Absolute nature of the thermal ambience of accelerated observers

1983 ◽  
Vol 27 (10) ◽  
pp. 2310-2315 ◽  
Author(s):  
Ulrich H. Gerlach
Keyword(s):  
Accelerated Observers

scholarly journals Conformal Symmetry, Accelerated Observers, and Nonlocality

Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 978 ◽  
Author(s):  
Bahram Mashhoon
Keyword(s):  
Abelian Subgroup ◽  
Conformal Symmetry ◽  
Minkowski Spacetime ◽  
Conformal Group ◽  
Accelerated Observers ◽  
Spacetime Metric

The acceleration transformations form a 4-parameter Abelian subgroup of the conformal group of Minkowski spacetime. The passive interpretation of acceleration transformations leads to a congruence of uniformly accelerated observers in Minkowski spacetime. The properties of this congruence are studied in order to illustrate the kinematics of accelerated observers in relativistic physics. The generalization of this approach under conformal rescaling of the spacetime metric is examined.

Accelerated Observers in Special Relativity

1999 ◽  
Vol 12 (4) ◽  
pp. 629-648
Author(s):  
Michael L. Fontenot
Keyword(s):  
Special Relativity ◽  
Accelerated Observers

A new mathematical formulation of accelerated observers in general relativity. II

1982 ◽  
Vol 23 (1) ◽  
pp. 105-108 ◽  
Author(s):  
D. G. Retzloff ◽  
B. DeFacio ◽  
P. W. Dennis
Keyword(s):  
General Relativity ◽  
Mathematical Formulation ◽  
Accelerated Observers

scholarly journals An investigation of some quantum correlations of Dirac fields in noninertial frames

2019 ◽  
Vol 97 (1) ◽  
pp. 42-50
Author(s):  
Mohammad Bagher Arjmandi
Keyword(s):  
Single Mode ◽  
Quantum Correlations ◽  
Initial State ◽  
Dirac Fields ◽  
Acceleration Parameter ◽  
Entanglement Of Formation ◽  
Single Mode Approximation ◽  
Accelerated Observers ◽  
Werner States

In this paper, some concepts of quantum correlations, such as one-way quantum deficit, purity, and entanglement of formation are investigated between the modes of Dirac fields in noninertial frames. We consider two bipartite divisions of a tripartite system constructed by initial Werner states, which is shared between two relatively accelerated observers. The degradation of these quantum correlations is shown when the acceleration parameter increases. However, a nonzero amount of correlations survives even at infinite acceleration limit. Furthermore, we study the inevitable influence of mixedness factor of initial state on the quantum correlations behaviour. Finally, we review our calculation beyond single-mode approximation and point out some differences and similarities between the two regimes.

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