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Author Krasnikov, Serguei,
Title Back-in-time and faster-than-light travel in general relativity / Serguei Krasnikov.
Imprint Cham, Switzerland : Springer, 2018.

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Series Fundamental theories of physics, 0168-1222 ; volume 193
Fundamental theories of physics ; v. 193. 0168-1222
Subject Causality (Physics)
General relativity (Physics)
Space and time.
Time travel.
LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
Series Fundamental theories of physics, 0168-1222 ; volume 193
Fundamental theories of physics ; v. 193. 0168-1222
Subject Causality (Physics)
General relativity (Physics)
Space and time.
Time travel.
Description 1 online resource (xviii, 250 pages) : illustrations.
Bibliography Note Includes bibliographical references and index.
Contents Intro; Preface; Contents; Notations; mk1; mk2; Classical Treatment; 1 Geometrical Introduction; 1 Spacetimes; 2 Local Geodesic Structure; 2.1 Geodesics; 2.2 Normal, Convex and Simple Neighbourhoods; 3 The Time; 3.1 The Past and the Future; 3.2 Causality Condition; 3.3 Causally Convex and Strongly Causal Sets; 4 Global Hyperbolicity; 5 Perfectly Simple Spacetimes; 6 ̀Cutting and Pasting' Spacetimes; 6.1 Gluing Spacetimes Together; 6.2 Ungluing Spacetimes; 2 Physical Predilections; 1 Locality; 1.1 C-Spaces; 1.2 The Weak Energy Condition (WEC); 2 The Maximal Speed and Causality.
2.1 The Speed to Be Restricted2.2 Cause-Effect Relation; 2.3 The Principle of Causality; 2.4 ̀The Speed of Gravity' vspscsps; 2.5 The S̀emi-superluminal' Velocity; 3 Evolutionary Picture; 3.1 Is the Universe Globally Hyperbolic?; 3.2 Should General Relativity Be Slightly Modified?; 3.3 Matter in Non-globally Hyperbolic Spacetimes; 3 Shortcuts; 1 The Concept of Shortcut; 2 Wormholes; 2.1 What Are Wormholes?; 2.2 Wormholes as a Means of Transport; 3 Warp Drives; 4 Time Machines; 1 The Time Machine; 2 Misner-Type Time Machines; 2.1 Misner Space; 2.2 (Anti- ) de Sitter Time Machines.
2.3 Some Global Effects3 Wormholes as Time Machines; 4 Special Types of Cauchy Horizons; 4.1 Imprisoned Geodesics and Compactly Determined Horizons; 4.2 Deformation of Imprisoned Geodesics; 4.3 Some Properties of Time Machines with CG(D)CH; 5 A Pathology-Free Time Machine; 5 A No-Go Theorem for the Artificial Time Machine; 1 The Theorem and Its Interpretation; 2 Outline of the Proof; 3 Convexly c-Extendible Sets; 4 Construction of M""36; 4.1 The Spacetime M; 4.2 The Spacetime M; 4.3 The Spacetime M""36; 5 The Structure of M""36; 5.1 The Surfaces S and S; 5.2 Convex C-Extendibility of M""36.
6 Proof of the Theorem6 Time Travel Paradoxes; 1 The Essence of the Problem; 1.1 The Two Kinds of Time Travel Paradoxes; 1.2 Pseudoparadoxes; 2 Science Fiction; 2.1 The Banana Skin Principle; 2.2 Restrictions on the Freedom of the Will; 3 Modelling and Demystification of the Paradoxes; 3.1 The Grandfather Paradox; 3.2 The Machine Builder Paradox ttrpar; Semiclassical Effects; 7 Quantum Corrections; 1 Direct Calculation; 2 Auxiliary Spacetimes; 2.1 Conformal Coupling; 2.2 The Method of Images; 8 WEC-Related Quantum Restrictions; 1 Quantum Restrictions on Shortcuts; 1.1 The Quantum Inequality.
1.2 Connection with Shortcuts1.3 The Meaning of the Restrictions; 2 Counterexamples; 2.1 The Weyl Tensor; 2.2 The Non-trivial Topology; 2.3 Èconomical' Shortcuts; 9 Primordial Wormhole; 1 Introduction; 2 The Model and Assumptions; 2.1 Schwarzschild Spacetime; 2.2 The Geometry of the Evaporating Wormhole; 2.3 Weak Evaporation Assumption; 2.4 Preliminary Discussion; 3 The Evolution of the Horizon; 3.1 Evaporation; 3.2 The Shift of the Horizon; 4 The Traversability of the Wormhole; 10 At and Beyond the Horizon; A Details; A.1 Externally Flat Wormhole as Charge.
Summary For the past 20 years causality violations and superluminal motion have been the object of intensive study as physical and geometrical phenomena. This book compiles the results of its author and also reviews other work in the field. In particular, the following popular questions are addressed: Is causality protected by quantum divergence at the relevant Cauchy horizon? How much "exotic matter" would it take to create a time machine or a warp drive? What is the difference between a "discovered" time machine and a created one? Why does a time traveler fail to kill their grandfather? How should we define the speed of gravity and what is its magnitude?
Note Online resource; title from PDF title page (SpringerLink, viewed May 15, 2018).
ISBN 9783319727547 (electronic bk.)
3319727540 (electronic bk.)
9783319727530 (print)
3319727532
ISBN/ISSN 10.1007/978-3-319-72754-7
OCLC # 1035635066
Additional Format Print version: Krasnikov, Serguei. Back-in-time and faster-than-light travel in general relativity. Cham, Switzerland : Springer, 2018 3319727532 9783319727530 (OCoLC)1012198503