references.bib

@book{arfken2013mathematical,
  title={Mathematical methods for physicists},
  author={Arfken, George B},
  year={2013},
  publisher={Academic press}
}


@article{unruh:1976,
  title = {Notes on black-hole evaporation},
  author = {Unruh, W. G.},
  journal = {Phys. Rev. D},
  volume = {14},
  issue = {4},
  pages = {870--892},
  numpages = {0},
  year = {1976},
  month = {Aug},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevD.14.870},
  url = {http://link.aps.org/doi/10.1103/PhysRevD.14.870}
}

@article{PhysRevD.7.2850,
  title = {Nonuniqueness of Canonical Field Quantization in Riemannian Space-Time},
  author = {Fulling, Stephen A.},
  journal = {Phys. Rev. D},
  volume = {7},
  issue = {10},
  pages = {2850--2862},
  numpages = {0},
  year = {1973},
  month = {May},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevD.7.2850},
  url = {http://link.aps.org/doi/10.1103/PhysRevD.7.2850}
}
article{Ford:1997hb,
      author         = "Ford, L.H.",
      title          = "{Quantum field theory in curved space-time}",
      year           = "1997",
      eprint         = "gr-qc/9707062",
      archivePrefix  = "arXiv",
      primaryClass   = "gr-qc",
      reportNumber   = "TUTP-97-9",
      SLACcitation   = "%%CITATION = GR-QC/9707062;%%",
}

@book{carroll:2004,
  title={Spacetime and geometry. An introduction to general relativity},
  author={Carroll, Sean M},
  volume={1},
  year={2004}
}

@book{srednicki:2007,
  title={Quantum field theory},
  author={Srednicki, Mark},
  year={2007},
  publisher={Cambridge University Press}
}
@article{hawking:1977,
  title = {Cosmological event horizons, thermodynamics, and particle creation},
  author = {Gibbons, G. W. and Hawking, S. W.},
  journal = {Phys. Rev. D},
  volume = {15},
  issue = {10},
  pages = {2738--2751},
  numpages = {0},
  year = {1977},
  month = {May},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevD.15.2738},
  url = {http://link.aps.org/doi/10.1103/PhysRevD.15.2738}
}
@book{landau:1958,
  title={Quantum mechanics: non-relativistic theory},
  author={Landau, Lev Davidovich and Lif{\v{s}}ic, Evgenij M and Bell, John Stewart and Sykes, JB},
  volume={3},
  year={1958},
  publisher={Pergamon Press London}
}
@article{unruh:1976,
  title = {Notes on black-hole evaporation},
  author = {Unruh, W. G.},
  journal = {Phys. Rev. D},
  volume = {14},
  issue = {4},
  pages = {870--892},
  numpages = {0},
  year = {1976},
  month = {Aug},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevD.14.870},
  url = {http://link.aps.org/doi/10.1103/PhysRevD.14.870}
}

@article{ford:1985,
  title = {Quantum instability of de Sitter spacetime},
  author = {Ford, L. H.},
  journal = {Phys. Rev. D},
  volume = {31},
  issue = {4},
  pages = {710--717},
  numpages = {0},
  year = {1985},
  month = {Feb},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevD.31.710},
  url = {http://link.aps.org/doi/10.1103/PhysRevD.31.710}
}

@article{anderson:2014,
  title = {Instability of global de Sitter space to particle creation},
  author = {Anderson, Paul R. and Mottola, Emil},
  journal = {Phys. Rev. D},
  volume = {89},
  issue = {10},
  pages = {104038},
  numpages = {34},
  year = {2014},
  month = {May},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevD.89.104038},
  url = {http://link.aps.org/doi/10.1103/PhysRevD.89.104038}
}
@article{holland:2014,
      author         = "Hollands, Stefan and Wald, Robert M.",
      title          = "{Quantum fields in curved spacetime}",
      journal        = "Phys.Rept.",
      volume         = "574",
      pages          = "1-35",
      doi            = "10.1016/j.physrep.2015.02.001",
      year           = "2015",
      eprint         = "1401.2026",
      archivePrefix  = "arXiv",
      primaryClass   = "gr-qc",
      SLACcitation   = "%%CITATION = ARXIV:1401.2026;%%",
}

@article{hawking:1974,
  title={Black hole explosions},
  author={Hawking, Stephen W},
  journal={Nature},
  volume={248},
  number={5443},
  pages={30--31},
  year={1974}
}

@article{hawking:1975,
  title={Particle creation by black holes},
  author={Hawking, Stephen W},
  journal={Communications in mathematical physics},
  volume={43},
  number={3},
  pages={199--220},
  year={1975},
  publisher={Springer}
}

@book{dirac:1958,
  title={The principles of quantum mechanics},
  author={Dirac, Paul Adrien Maurice and Dirac, Paul Adrien Maurice and Physicist, Great Britain and Dirac, Paul Adrien Maurice},
  volume={4},
  year={1958},
  publisher={Clarendon Press Oxford}
}
@article{de:1917a,
  title={On the relativity of inertia. Remarks concerning Einstein’s latest hypothesis},
  author={De Sitter, Willem},
  journal={Proc. Kkl. Akad. Amsterdam},
  volume={19},
  pages={1217--1225},
  year={1917}
}
@inproceedings{de:1917b,
  title={On the curvature of space},
  author={De Sitter, Willem},
  booktitle={Proc. Kon. Ned. Akad. Wet},
  volume={20},
  pages={229--243},
  year={1917}
}

@article{eddington:1924,
  title={A Comparison of Whitehead's and Einstein's Formulae},
  author={Eddington, Arthur S},
  journal={Nature},
  volume={113},
  pages={192},
  year={1924}
}

@article{friedman:1999,
year={1999},
issn={0001-7701},
journal={General Relativity and Gravitation},
volume={31},
number={12},
doi={10.1023/A:1026751225741},
title={On the Curvature of Space},
url={http://dx.doi.org/10.1023/A%3A1026751225741},
publisher={Kluwer Academic Publishers-Plenum Publishers},
author={Friedman, A.},
pages={1991-2000},
language={English}
}
@book{hawking:1973,
  title={The large scale structure of space-time},
  author={Hawking, Stephen W},
  volume={1},
  year={1973},
  publisher={Cambridge university press}
}
@article{parker:1968,
  title={Particle creation in expanding universes},
  author={Parker, Leonard},
  journal={Physical Review Letters},
  volume={21},
  number={8},
  pages={562},
  year={1968},
  publisher={APS}
}
@article{parker:1971,
  title={Quantized fields and particle creation in expanding universes. II},
  author={Parker, Leonard},
  journal={Physical Review D},
  volume={3},
  number={2},
  pages={346},
  year={1971},
  publisher={APS}
}

@article{parker:1969,
  title={Quantized fields and particle creation in expanding universes. I},
  author={Parker, Leonard},
  journal={Physical Review},
  volume={183},
  number={5},
  pages={1057},
  year={1969},
  publisher={APS}
}

@article{parker:2012,
   author = {{Parker}, L.},
    title = "{Particle creation and particle number in an expanding universe}",
  journal = {Journal of Physics A Mathematical General},
archivePrefix = "arXiv",
   eprint = {1205.5616},
 primaryClass = "astro-ph.CO",
     year = 2012,
    month = sep,
   volume = 45,
      eid = {374023},
    pages = {K4023},
      doi = {10.1088/1751-8113/45/37/374023},
   adsurl = {http://adsabs.harvard.edu/abs/2012JPhA...45K4023P},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{Linde:1984,
      author         = "Linde, Andrei D.",
      title          = "{The Inflationary Universe}",
      journal        = "Rept.Prog.Phys.",
      volume         = "47",
      pages          = "925-986",
      doi            = "10.1088/0034-4885/47/8/002",
      year           = "1984",
      SLACcitation   = "%%CITATION = RPPHA,47,925;%%",
}
@article{Guth:1980,
      author         = "Guth, Alan H.",
      title          = "{The Inflationary Universe: A Possible Solution to the
                        Horizon and Flatness Problems}",
      journal        = "Phys.Rev.",
      volume         = "D23",
      pages          = "347-356",
      doi            = "10.1103/PhysRevD.23.347",
      year           = "1981",
      reportNumber   = "SLAC-PUB-2576",
      SLACcitation   = "%%CITATION = PHRVA,D23,347;%%",
}

@article{Jacobson:2003,
      author         = "Jacobson, Ted",
      title          = "{Introduction to quantum fields in curved space-time and
                        the Hawking effect}",
      pages          = "39-89",
      doi            = "10.1007/0-387-24992-3_2",
      year           = "2003",
      eprint         = "gr-qc/0308048",
      archivePrefix  = "arXiv",
      primaryClass   = "gr-qc",
      SLACcitation   = "%%CITATION = GR-QC/0308048;%%",
}

@article{ford:1987,
  title={Gravitational particle creation and inflation},
  author={Ford, LH},
  journal={Physical Review D},
  volume={35},
  number={10},
  pages={2955},
  year={1987},
  publisher={APS}
}