Properties of states of low energy on cosmological spacetimes:
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Hamburg
DESY
2013
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 126 S. graph. Darst. |
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Record in the Search Index
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| adam_text | IMAGE 1
CONTENTS
INTRODUCTION VII
1 STRUCTURE OF SPACETIME 1
1.1 BASIC CONVENTIONS AND DEFINITIONS 1
1.2 GENERAL RELATIVITY 3
1.3 FRW SPACETIMES 5
2 QUANTUM FIELD THEORY ON CURVED SPACETIMES 11
2.1 CLASSICAL FREE SCALAR FIELD THEORY ON CURVED SPACETIMES 11
2.2 CANONICAL QUANTISATION OF THE FREE SCALAR FIELD 14
2.3 STATES 16
2.3.1 HADAMARD STATES 18
2.3.2 PURE QUASIFREE ISOTROPIC AND HOMOGENOUS STATES ON FRW SPACETIMES .
. 22 2.4 THE RENORMALISED STRESS-ENERGY-TENSOR 24
2.4.1 A GENERAL WORLDLINE QUANTUM INEQUALITY 27
2.4.2 RENORMALISATION OF THE ENERGY DENSITY ON FRW SPACETIMES 28
2.5 STATES OF LOW ENERGY ON FRW SPACETIMES 34
2.5.1 ADIABATIC STATES 34
2.5.2 CONSTRUCTION OF SLE S 3-5
3 CALCULATION OF W(: P :) IN SLE S ON DE SITTER SPACETIMES 3 9
3.1 CALCULATION OF UI(: P :) FOR DIFFERENT REGIMES OF THE MASS 40
3.2 COMPARISON WITH FEWSTERS BOUND 49
3.3 SLE S AS REFERENCE GROUND STATES AND THE REGIME OF BACKREACTION 52
3.4 COMPARISON WITH ADIABATIC STATES 56
4 RELATION O F SLE S T O DISTINGUISHED STATES ON ASYMPTOTIC DE SITTER
SPACETIMES 6 1 4.1 CONVERGENCE OF SLE S T O DISTINGUISHED STATES: DE
SITTER SPACE 61
4.2 CONVERGENCE OF SLE S T O DISTINGUISHED STATES: ASYMPTOTIC DE SITTER
SPACE . . . . 67
5 THE SEMICLASSICAL BACKREACTION PROBLEM FOR SLE S 8 3
5.1 PERTURBATIVE SEMICLASSICAL EINSTEIN EQUATION OVER MINKOWSKI SPACE 85
5.1.1 COHERENT STATES 94
5.1.2 AN APPLICATION OF THE PERTURBATIVE FORMULA FOR UJF(: P :) 96
5.2 ASYMPTOTIC ANALYSIS OF THE SEMICLASSICAL EINSTEIN EQUATION 97
5.3 NUMERICAL SOLUTION 107
A CALCULATION OF [R-Q T AND [P X QI] ON SPATIALLY FLAT FRW SPACETIME 1
1 3
V
HTTP://D-NB.INFO/1032141204
IMAGE 2
B RENORMALISATION FREEDOM O F U ( : P :) ON SPATIALLY FLAT FRW SPACETIME
117
CONCLUSIONS 121
REFERENCES 126
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| dewey-ones | 530 - Physics |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Thesis Book |
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| spelling | Degner, Andreas Verfasser (DE-588)103234394X aut Properties of states of low energy on cosmological spacetimes vorgelegt von Andreas Degner Hamburg DESY 2013 VII, 126 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hamburg, Univ., Diss., 2013 (DE-588)4113937-9 Hochschulschrift gnd-content DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025879284&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Degner, Andreas Properties of states of low energy on cosmological spacetimes |
| subject_GND | (DE-588)4113937-9 |
| title | Properties of states of low energy on cosmological spacetimes |
| title_auth | Properties of states of low energy on cosmological spacetimes |
| title_exact_search | Properties of states of low energy on cosmological spacetimes |
| title_full | Properties of states of low energy on cosmological spacetimes vorgelegt von Andreas Degner |
| title_fullStr | Properties of states of low energy on cosmological spacetimes vorgelegt von Andreas Degner |
| title_full_unstemmed | Properties of states of low energy on cosmological spacetimes vorgelegt von Andreas Degner |
| title_short | Properties of states of low energy on cosmological spacetimes |
| title_sort | properties of states of low energy on cosmological spacetimes |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025879284&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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