scholarly journals The time traveler’s guide to the quantization of zero modes

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Ana Alonso-Serrano ◽  
Erickson Tjoa ◽  
Luis J. Garay ◽  
Eduardo Martín-Martínez
Keyword(s):  
Zero Mode ◽  
Massless Scalar ◽  
Energy Tensor ◽  
Massless Scalar Field ◽  
Stress Energy Tensor ◽  
Squeezed State ◽  
Time Machine ◽  
Zero Modes ◽  
Stress Energy ◽  
The Relationship

Abstract We study the relationship between the quantization of a massless scalar field on the two-dimensional Einstein cylinder and in a spacetime with a time machine. We find that the latter picks out a unique prescription for the state of the zero mode in the Einstein cylinder. We show how this choice arises from the computation of the vacuum Wightman function and the vacuum renormalized stress-energy tensor in the time-machine geometry. Finally, we relate the previously proposed regularization of the zero mode state as a squeezed state with the time-machine warp parameter, thus demonstrating that the quantization in the latter regularizes the quantization in an Einstein cylinder.

On several static cylindrically symmetric solutions of the Einstein equations

2016 ◽  
Vol 31 (11) ◽  
pp. 1650068
Author(s):  
Sergey Grigoryev ◽  
Arkadiy Leonov
Keyword(s):  
Einstein Equations ◽  
Massless Scalar ◽  
Energy Tensor ◽  
Massless Scalar Field ◽  
Stress Energy Tensor ◽  
Perfect Fluid Solution ◽  
Cylindrically Symmetric ◽  
Special Cases ◽  
Stress Energy ◽  
Barotropic Equation

We study the Einstein equations in the static cylindrically symmetric case with the stress–energy tensor of the form [Formula: see text], where [Formula: see text] is an unknown function and [Formula: see text], [Formula: see text], [Formula: see text] are arbitrary real constants ([Formula: see text] is assumed to be nonzero). The stress–energy tensor of this form includes as special cases several well-known solutions, such as the perfect fluid solution with the barotropic equation of state, the solution with the static electric field and the solution with the massless scalar field. We solve the Einstein equations with this stress–energy tensor and study some properties of the obtained metric.

Wormhole modeling in f(R,T) gravity with minimally-coupled massless scalar field

2020 ◽  
Vol 35 (29) ◽  
pp. 2050186
Author(s):  
Nisha Godani ◽  
Gauranga C. Samanta
Keyword(s):  
Scalar Field ◽  
Gravitational Lensing ◽  
Massless Scalar ◽  
Qualitative Behavior ◽  
Energy Tensor ◽  
Massless Scalar Field ◽  
Stress Energy Tensor ◽  
Shape Functions ◽  
Traversable Wormholes ◽  
Stress Energy

In this paper, the strong gravitational lensing is explored for traversable wormholes in [Formula: see text] theory of gravity with minimally-coupled massless scalar field. First, the effective wormhole solutions are obtained using the model [Formula: see text], where [Formula: see text] is constant, [Formula: see text] is scalar curvature and [Formula: see text] is the trace of stress-energy tensor. Furthermore, three different shape functions namely, [Formula: see text] (Ref. 36), [Formula: see text] (Refs. 35 and 37) and [Formula: see text], [Formula: see text] (Refs. 34, 35, 39, 73) are considered and studied their qualitative behavior for the construction of wormhole geometry respectively. Subsequently, gravitational lensing effect is implemented to detect the existence of photon spheres at or outside the throat of wormholes.

scholarly journals Local zeta regularization and the scalar Casimir effect IV: The case of a rectangular box

2016 ◽  
Vol 31 (04n05) ◽  
pp. 1650003 ◽  
Author(s):  
Davide Fermi ◽  
Livio Pizzocchero
Keyword(s):  
Casimir Effect ◽  
Arbitrary Dimension ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Massless Scalar ◽  
Energy Tensor ◽  
Massless Scalar Field ◽  
Stress Energy Tensor ◽  
Expectation Value ◽  
Stress Energy

Applying the general framework for local zeta regularization proposed in Part I of this series of papers, we compute the renormalized vacuum expectation value of several observables (in particular, of the stress–energy tensor) for a massless scalar field confined within a rectangular box of arbitrary dimension.

scholarly journals Stress Energy Quantum Tensor : Linear Approximation of the Einstein’s Equations and Equivalence with the Klein-Gordon’s equation

2019 ◽  
Author(s):  
Roman Baudrimont
Keyword(s):  
Linear Approximation ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Quantum Energy ◽  
Linearized Gravity ◽  
Stress Energy ◽  
Energy Pulse ◽  
Klein Gordon ◽  
Energy Quantum ◽  
The Relationship

Our goal in this paper is to study the relationship between the linear approximation of Einstein's equations to the Klein-Gordon’s equation. The part one presents what the Klein-Gordon’s equation and the integration of the theory of quantum information in it. The Part two deals with the Stress Energy tensor quantum, wherein the detail I linearized gravity of Einstein equation, and wherein I develop the tensor quantum energy pulse from the equivalence of equation einstein the linearized gravity and the Schrödinger equation relativistic described by Klein-Gordon’s equation.

SQUEEZED STATE REPRESENTATION OF QUANTUM FLUCTUATIONS AND SEMICLASSICAL THEORY

1998 ◽  
Vol 13 (03) ◽  
pp. 165-172 ◽  
Author(s):  
P. K. SURESH ◽  
V. C. KURIAKOSE
Keyword(s):  
Anisotropic Pressure ◽  
Energy Tensor ◽  
Semiclassical Theory ◽  
Stress Energy Tensor ◽  
Squeezed State ◽  
State Representation ◽  
Expectation Values ◽  
Squeezed Vacuum ◽  
Stress Energy ◽  
Vacuum States

A squeezed state representation is constructed for each mode of a quantized scalar field in a classical spatially homogeneous anisotropic background cosmology. The expectation values of stress–energy tensor are calculated in squeezed vacuum states. The results for the fluctuations in energy density and anisotropic pressure are also presented.

scholarly journals LIGHT-CONE FLUCTUATIONS AND THE RENORMALIZED STRESS TENSOR OF A MASSLESS SCALAR FIELD

2013 ◽  
Vol 28 (01) ◽  
pp. 1350001 ◽  
Author(s):  
V. A. DE LORENCI ◽  
G. MENEZES ◽  
N. F. SVAITER
Keyword(s):  
Scalar Field ◽  
Light Cone ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Flat Space ◽  
Massless Scalar ◽  
Energy Tensor ◽  
Massless Scalar Field ◽  
Expectation Value ◽  
Stress Energy

We investigate the effects of light-cone fluctuations over the renormalized vacuum expectation value of the stress–energy tensor of a real massless minimally coupled scalar field defined in a (d+1)-dimensional flat space–time with topology [Formula: see text]. For modeling the influence of light-cone fluctuations over the quantum field, we consider a random Klein–Gordon equation. We study the case of centered Gaussian processes. After taking into account all the realizations of the random processes, we present the correction caused by random fluctuations. The averaged renormalized vacuum expectation value of the stress–energy associated with the scalar field is presented.

scholarly journals Stress Energy Quantum Tensor : Linear Approximation of the Einstein’s Equations and Equivalence with the Klein-Gordon’s equation

2019 ◽  
Author(s):  
Roman Baudrimont
Keyword(s):  
Linear Approximation ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Quantum Energy ◽  
Linearized Gravity ◽  
Stress Energy ◽  
Energy Pulse ◽  
Klein Gordon ◽  
Energy Quantum ◽  
The Relationship

Our goal in this paper is to study the relationship between the linear approximation of Einstein's equations to the Klein-Gordon’s equation. The part one presents what the Klein-Gordon’s equation and the integration of the theory of quantum information in it. The Part two deals with the Stress Energy tensor quantum, wherein the detail I linearized gravity of Einstein equation, and wherein I develop the tensor quantum energy pulse from the equivalence of equation einstein the linearized gravity and the Schrödinger equation relativistic described by Klein-Gordon’s equation.

The stress-energy tensor

2019 ◽  
pp. 59-65
Author(s):  
Steven Carlip
Keyword(s):  
Equations Of Motion ◽  
Scalar Fields ◽  
Gravitational Energy ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Field Equations ◽  
Perfect Fluids ◽  
Stress Energy ◽  
Relationship Of ◽  
The Relationship

The “source” of gravity in the Einstein field equations is the stress-energy tensor. After a discussion of why gravitational mass should be part of a rank two tensor, this chapter derives the stress-energy tensor for a variety of types of matter: point particles, perfect fluids, scalar fields, and electromagnetism. The chapter discusses the relationship of differential and integral conservation laws, and introduces the problem of gravitational energy. It concludes with a discussion of one of the most remarkable results of general relativity, the fact that equations of motion for matter do not need to be introduced separately, but follow from the field equations.

scholarly journals Stress-energy tensor correlators from the world-sheet

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Hanno Bertle ◽  
Andrea Dei ◽  
Matthias R. Gaberdiel
Keyword(s):  
Vertex Operator ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
World Sheet ◽  
Stress Energy ◽  
The World

Abstract The large N limit of symmetric orbifold theories was recently argued to have an AdS/CFT dual world-sheet description in terms of an sl(2, ℝ) WZW model. In previous work the world-sheet state corresponding to the symmetric orbifold stress-energy tensor was identified. We calculate certain 2- and 3-point functions of the corresponding vertex operator on the world-sheet, and demonstrate that these amplitudes reproduce exactly what one expects from the dual symmetric orbifold perspective.

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