|  Gravitational-Wave Background | 
In General
  > s.a. gravitational-wave analysis [including pulsar timing];
  quantum-gravity effects.
  * Idea: A stochastic background, supposed
    to be roughly uniform between frequencies of 10−5
    sec and 100 yr, isotropic, stationary over long periods, and Gaussian, because it comes
    from many uncorrelated sources.
  * Sources: In order of increasing
    likelihood of detection, Parametric amplification of 0-point fluctuations during
    inflation (flat spectrum in huge f range, including LIGO and LISA sensitivity);
    Cosmic strings (relatively flat); Collisions of vacuum bubbles in reheating after phase
    transitions (peak at 10−7 Hz ×
    Ept/GeV; Unresolved isolated sources.
  * And inflation: There were
    three different production processes at work in the inflationary era –
    Waves stemming from the inflationary expansion of space itself (which arise from
    the quantum properties of the gravitational field); Waves from the collision of
    bubble-like clumps of new matter at reheating after inflation; and Waves from the
    turbulent fluid mixing of the early pools of matter and radiation, before equilibrium
    among them (thermalization) had been achieved; Gravity waves would never have been
    in equilibrium with matter (since gravity is such a weak force there wouldn't be
    time to mingle adequately); Consequently the GWB will not appear to a viewer now
    to be at a single overall temperature.
  * Bounds: 1995, At some frequencies
    we can already get bounds from the absence of δT/T s in the
    COBE data (~ 10−18 Hz) or timing residuals
    in msec pulsars (~ 10−8
    Hz = (8 yrs)−1); 2005, LIGO results,
    Ωgwb < 8.4 × 10−4
    for flat spectrum 69–156 Hz.
  @ General references:
    Alpher et al PR(53);
    Michelson MNRAS(87);
    ApJ(94)428, p713;
    Polnarev & Roxburgh GRG(95);
    Grishchuk gq/98 [estimates],
    LNP(01)gq/00 [rev];
    Astone et al IJMPD(00);
    Maggiore PRP(00)gq/99,
    gq/00-ln [rev];
    de Araujo et al PRD(00)ap [theory];
    news pw(07)jan;
    Mitra et al PRD(08)-a0711 [mapping];
    Camerini et al PRD(08)-a0802 [blue waves and cosmology];
    Giovannini PMCPA(10)-a0901 [relic gravitons, theoretical appraisal];
    Su & Zhang PRD(12) [relic waves, energy-momentum pseudotensor];
    Mandic et al PRL(12) [parameter estimation];
    Romano & Cornish LRR(17)-a1608 [detection methods];
    Renzini & Contaldi MNRAS(18)-a1806 [mapping, incoherent];
    Romano a1909-ln [brief intro].
  @ Spectrum: Hawking et al PRD(00)ht [in open de Sitter];
    Phinney ap/01/MNRAS;
    Farmer & Phinney MNRAS(03)ap [cosmological binaries];
    Zhang et al CQG(05)ap,
    CQG(06)ap [in accelerating universe];
    Seto & Cooray PRD(06)ap/05 [very low f, constraints];
    Lasky et al PRX(16)-a1511 [constraints];
    Kuroyanagi et al JCAP(18)-a1807 [and future gravitational wave detectors];
    Tsuneto et al JCAP(19)-a1812 [search for bispectrum];
    Jenkins & Sakellariadou PRD(19)-a1902 [shot noise].
  @ Anisotropies: Allen  & Ottewill PRD(97)gq/96;
    Olmez et al JCAP(12)-a1106;
    Mingarelli et al PRD(13) [using pulsar timing arrays];
    Kuroyanagi et al PRD(17)-a1604 [and the cosmic string network];
    Jenkins & Sakellariadou PRD(18)-a1802 [formalism, the cosmic string case];
    Jenkins et al PRD(18)-a1806;
    Hotinli et al OJA(19)-a1904 [search];
    Pitrou et al PRD(20)-a1910.
  @ And astrophysics: Mazumder et al PRD(14)-a1401;
    Callister et al PRX(16)-a1604 [limits of astrophysics].
  @ Theoretical bounds: Cooray et al PRD(05)ap [cmb-galaxy cross-correlation];
    Smith et al PRL(06),
    Corda MPLA(07) [cmb];
    Pshirkov & Baskarán PRD(09)-a0903 [large-scale magnetic fields];
    Giblin & Thrane PRD(14)-a1410 [detectability].
  @  Experimental  bounds: Coughlin & Harms PRL(14)-a1401 [from seismic measurements];
    Siegel & Roth ApJ(14)-a1401 [from helioseismology];
    Aasi et al PRL(14)-a1406 [from 2009-2010 LIGO and Virgo Data];
    Pagano et al PLB(16)-a1508 [from Planck 2015];
    LSC & Virgo PRL(17)-a1612 [from Advanced LIGO data];
    LSC & Virgo PRL(18)-a1802 [search for polarizations];
    > s.a. interferometers and space-based detectors.
  @ Bending of light: Faraoni ap/96-proc;
    Kaiser & Jaffe ApJ(97)ap/96.
  @ Back-reaction, and universal expansion: Dautcourt PRD(99)gq;
    Garrison AIP(09)-a0808;
    Chevalier et al PhyA(09);
    Kuntz EPJC(18)-a1712 [quantum corrections];
    > s.a. cosmological expansion.
  @ Other effects: Kosenko & Postnov A&A-ap/99 [fluctuations];
    Grishchuk PU(05)gq-conf [cosmology and cmb];
    de Araujo & Miranda PRD(05)ap [and star formation rate];
    Mangilli et al PRD(08) [and cosmic neutrinos];
    Zhao PRD(09);
    Rotti & Souradeep PRL(12)-a1112 [cmb lensing];
    Barausse et al CQG(18)-a1805 [and black-hole mimickers];
    Khodadi et al PLB(18)-a1805 [Planck scale effects];
    > s.a. primordial black holes.
Sources and Other References > s.a. numerical
  relativity; sources of gravitational radiation [including phase transitions].
  @ Reviews: Hogan AIP(06)ap [LISA and inflation and other new physics],
    pw(07)jun;
    Schneider et al a1005/CQG-proc [extragalactic].
  @ Cosmic strings: Hawking PLB(90);
    Battye & Shellard ap/96-GRF,
    CQG(96)ap;
    Martin & Vilenkin PRL(96)ap [hybrid defects];
    Damour & Vilenkin PRL(00)gq,
    PRD(01)gq [non-Gaussian];
    Allen & Ottewill PRD(01) [waveforms];
    Siemens & Olum NPB(01);
    Siemens et al PRL(07)ap/06;
    DePies & Hogan PRD(07)ap [light cosmic strings];
    Kleidis et al PRD(08)-a0806;
    Sousa & Avelino PRD(13)-a1304 [power spectrum],
    PRD(14)-a1403;
    Chang & Cui a1910.
  @ Quantum, primordial:
    Soares-Santos & Gouveia Dal Pino ap/06;
    Gogoberidze et al PRD(07)-a0705 [turbulence];
    Krauss et al Sci(10)may-a1004
    + news SA(10)may [cosmology];
    Freitas & Gonçalves a1102 [in Brans-Dicke theory];
    Henrot-Versillé et al CQG(15)-a1408 [constraints];
    Kanno & Soda PRD(19)-a1810 [Hanbury Brown - Twiss interferometry];
    > s.a. loop quantum cosmology.
  @ Inflation: Lyth PRL(97);
    Bucher & Cohn PRD(97);
    Gleiser & Roberts PRL(98) [collapsing vacuum domains];
    Allen et al PRD(00)gq/99;
    Giovannini hp/99;
    Hertog & Turok PRD(00)ap/99 [instantons];
    Langlois et al PLB(00) [on the brane];
    Pilo et al PRL(04)ap;
    Sahoo MPLA(05)gq/04 [Brans-Dicke, spectrum];
    Alexander & Martin PRD(05)ht/04 [birefringence];
    Siegel & Fry PLB(05)ap [extra dimensions, thermal spectrum];
    Zhao ap/05 [model dependence of spectrum];
    Easther & Lim JCAP(06)ap;
    Smith et al PRD(06)ap [cmb vs direct detection];
    Osano et al JCAP(07)gq/06 [second-order effects];
    García & Figueroa PRL(07),
    a0801-proc [hybrid preheating];
    Dufaux et al PRD(07)-a0707 [preheating after inflation];
    Easther et al PRL(07),
    PRD(08)-a0712;
    Smith et al PRD(08)-a0802;
    Kuroyanagi et al PRD(09)-a0804;
    Ashoorioon & Freese a0811 [chain inflation];
    Shafi & Wickman PLB(11)-a1009 [supersymmetric hybrid inflation, and cmb];
    Kuroyanagi et al PRD(11)-a1010 [future prospects of detection];
    Brandenberger a1104 [spectrum and inflation];
    Wu et al PRD(11) [quantum stress tensor fluctuations];
    Senatore et al JCAP(14)-a1109;
    Jinno et al PLB(12) [and cosmic phase transition];
    López & Freese JCAP(15)-a1305 [and Advanced LIGO];
    Guzzetti et al RNC(16)-a1605 [rev];
    Tanin & Tenkanen a2004 [constraints on inflation];
    > s.a. sources of gravitational radiation [lqc].
  @ Other early universe: Kosowsky et al PRD(02)ap/01 [from turbulence];
    Grishchuk gq/02-in;
    Buonanno gq/03-ln;
    Boyle et al PRD(04)ht/03 [cyclic universe];
    Santos et al AIP(05)gq;
    Izquierdo PhD(05)gq/06 [expanding universe];
    Mandic & Buonanno PRD(06)ap/05 [pre-big-bang and LIGO];
    Ananda et al PRD(07) [from primordial density perturbations];
    Zhao et al PLB(09)-a0907 [detection];
    Figueroa & Meriniemi JHEP(13)-a1306 [out-of-equilibrium fermions];
    Caprini JPCS(15)-a1501 [cosmological sources];
    Caprini & Figueroa CQG(18)-a1801 [rev];
    Dalianis & Kritos a2007;
    > s.a. cmb; propagation effects [conversion into photons].
  @ Particles and fields: Del Campo & Ford PRD(88) [thermal γs];
    Brodin et al PRD(00)ap [magnetized plasmas];
    Enqvist et al PRD(12) [fermions].
  @ Binaries: Regimbau & Chauvineau CQG(07)-a0707-proc [extragalactic ns-ns];
    Rosado PRD(11)-a1106;
    Evangelista & de Araujo MPLA(13)-a1504,
    BJP(14)-a1504,
    BJP(15)-a1504;
    NANOGrav Collaboration a1602 [on the upper limit from the Parkes Pulsar Timing Array];
    Abbott et al PRL(16) [implications from GW150914];
    Nakazato et al ApJ(16)-a1605 [and galaxy metallicity];
    Cholis JCAP(17)-a1609;
    news cosmos(19)apr [NANOGrav];
    Zhao & Lu MNRAS-a2009 [eccentric stellar compact binaries];
    > s.a. black-hole binaries.
  @ Other sources: Carbone et al PRD(06)ap/05 [cold dark matter halos];
    Buonanno et al PRD(05) [supernovae];
    Sigl JCAP(06) [phase transitions in neutron stars];
    Sivaram & Arun OAJ(11)-a0708 [thermal sources];
    Regimbau & Mandic CQG(08)-a0806 [astrophysical vs primordial];
    Toonen et al MNRAS(09)-a0902 [stars around massive black holes];
    Marassi et al MNRAS(10)-a1009 [magnetars];
    Regimbau RAA(11)-a1101 [astrophysical];
    Rosado PRD(12)-a1206 [rotating neutron stars];
    Crocker et al PRD(17)-a1701 [stellar core collapse].
  @ Other theories: Capozziello et al MPLA(07)-a0707 [scalar-tensor gravity, scalar waves],
    APP(08)-a0712 [higher-order gravity];
    Corda OAJ(09)-a0901 [in f(R) gravity, rev];
    Nishizawa & Hayama PRD(13)-a1307 [massive gravity];
    Maselli et al PRL(16)-a1606;
    Isi & Stein PRD(18)-a1807 [formalism for general theories];
    > s.a. higher-dimensional gravity;
      Steady-State Cosmology;
      string phenomenology; tests of general relativity.
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