|  Cosmological Expansion | 
In General  s.a. expansion rate, issues and effects
  [including global-local discrepancy] and acceleration; friedmann
  equation; relativistic cosmology.
  s.a. expansion rate, issues and effects
  [including global-local discrepancy] and acceleration; friedmann
  equation; relativistic cosmology.
  * Hubble's law: Introduced as the
    relationship v = H0R
    between a distant galaxy's recession speed and its distance, it actually relates
    the distance to the galaxy's redshift z observationally, or its comoving
    distance to the time rate of change of its comoving distance theoretically;
    H0 is not really a constant;
    Alternatively, H0 can be replaced
    by its dimensionless counterpart h or "little h",
    defined by H0 = 100 h km/s/Mpc.
  * History: Credit for the discovery is given
    to Edwin Hubble (1929), but the work of Lemaître (1927) has been neglected; Mechanisms
    such as Zwicky's 1929 "tired light" were proposed as alternative explanations
    for the redshift; Hubble was initially reluctant to accept the expansion as real! 1970s,
    Alan Sandage defined cosmology as the search for two numbers, the Hubble parameter
    \(H_0\) and deceleration parameter \(q_0\).
  * Measurements: Calculations of the
    value of Hubble's constant use redshift and distance measurements; Some high-precision
    distance-determination methods use Cepheids, the tip of the red giant branch, maser
    galaxies, surface-brightness fluctuations, the Tully-Fisher relation and Type-Ia
    supernovae; 2012, Recently proposed methods use galaxy clusters and gravitational waves.
  @ Original papers:
    Lemaître ASSB(27),
    translation MNRAS(31);
    Hubble PNAS(29);
    Hubble & Humason ApJ(31).
  @ General references: Criado & Alamo AJP(07)apr [motion of photons and galaxies];
    Linder RPP(08)-a0801 [rev]; Greenhill et al a0902-rp [measurement];
    Padmanabhan GRG(10)-a1001 [and gravitational action and thermodynamics];
    Wallace & Prather AJP(12)may [use for teaching introductory physics];
    Neben & Turner ApJ(13)-a1209 [using time dependence of redshifts];
    Croton PASA(13)-a1308 [dealing with little h in data analysis];
    Sloan & Silk PRD(16)-a1505 [reason for large expansion].
  @ Conceptual: Silverman AJP(86)dec [apparent paradoxes];
    Page gq/93 [apparent superluminal expansion];
    Peacock a0809;
    Kaya AJP(11)-a1107;
    Padmanabhan RAA(12)-a1207 [expansion of the universe as emergence of space];
    Toporensky & Popov PU(14)-a1311 [observer perspective];
    Hogan a1312
      [quantum indeterminacy in local measurement of cosmic expansion];
    Pandey MNRAS(17)-a1705 [information-theoretic viewpoint];
    > s.a. history of relativistic cosmology.
Expansion History
  > s.a. Cosmography; cosmology [including future].
  * 2016: The most accurate
    measurements have been obtained with Type Ia supernovae and Baryon Acoustic
    Oscillations, providing evidence for the existence of a transition epoch from
    a decelerated to an accelerated expansion rate.
  @ General references: Linder PRL(03)ap/02;
    Simon et al PRD(05);
    Shafieloo et al MNRAS(06)ap/05 [from supernova data];
    Wang & Tegmark PRD(05) [measurement method];
    Linder PRD(05)ap [and inhomogeneity growth history];
    Bonvin et al PRL(06) [H(z) from luminosity distance dipole];
    Nojiri & Odintsov JPCS(07)ht/06 [and reconstruction of modified gravity theory];
    Schaefer ApJ(07)ap/06 [Hubble diagram to z > 6];
    Figueroa et al JCAP(08)-a0807 [and cosmological parameters];
    Mörtsell & Clarkson JCAP(09)-a0811 [constraints];
    Linder & Smith JCAP(11)-a1009 [excluding early acceleration periods];
    Santos et al APP(11)-a1009 [switch from deceleration to acceleration];
    Barboza & Carvalho PLB(12) [kinematic probe];
    Shchigolev UJPA(13)-a1404 [toy model of complete history];
    > s.a. acceleration.
  @ Coasting models: Sethi et al PLB(05)ap [viability];
    John MNRASL-a1902 [history].
  @ Reconstruction: Ishida & de Souza A&A(11)-a1012;
    Shafieloo JCAP(12)-a1204 [high-precision];
    Samsing et al PRD(12)-a1208 [model-independent, from cmb observations];
    Song PRD(13)-a1210 [using redshift distortions];
    Shafieloo et al PRD(13)-a1211 [model-independent, from supernova data];
    news sn(12)nov [BOSS finds expansion was slowing down 11 Gyr ago];
    Hamaus et al JCAP(14)-a1409 [using the clustering statistics of cosmic voids];
    Li et al PRD(16)-a1504 [H(z) as a function of redshift];
    Vitenti & Penna-Lima JCAP(15)-a1505;
    Hamaus et al JCAP(15)-a1507 [using redshift-space distortions];
    Moresco et al JCAP(16)-a1601 [evidence for transition from decelerated to accelerated expansion];
    Crevecoeur a1603 [in light of Planck data];
    Feng & Li ApJ(16)-a1604 [from SN and GRB measurements];
    Wang & Meng PDU-a1709 [from galaxy cluster surveys];
    Al Mamon & Bamba EPJC-a1805 [jerk parameter];
    Gómez-Valent JCAP(19)-a1810.
  @ And gravitational waves: Izquierdo AIP(06)gq [relic gravitational waves];
    Linder JCAP(08)-a0711,
    Nishizawa et al PRD(11) [sirens];
    Messenger & Read PRL(12) [from binary neutron star coalescence];
    Borhanian et al ApJL(20)-a2007 [dark sirens and the Hubble-Lemaître constant].
  @ In f(R) gravity: Amarzguioui et al A&A(06)ap/05 [Palatini];
    Fairbairn & Rydeck JCAP(07)ap.
Other References > s.a. doppler effect;
  global geometry [including distance-redshift relation].
  @ Distance measurements: 
    Feast ASP-ap/04;
    Allen et al a1307 [rev];
    Fakhouri et al ApJ(15)-a1511 [using "twin" Type Ia supernovae].
  @ Related topics: Goldhaber et al ap/96-in [cosmological time dilation];
    Scott & Frolop ap/06 [(not CJP) coincidences];
    Cooray & Caldwell PRD(06) [complications from bulk motions];
    Coley et al IJMPD(06)gq [observer dependence];
    Cattoën & Visser CQG(07)-a0710 [expansions in powers of z];
    Uzan et al PRL(08) [time drift of cosmological redshift];
    Guzzo et al nat(08)jan
    + news pw(08)jan [redshift distortion];
    Qi & Lu a1001 [direct measurement proposal];
    Christiansen & Siver AJP(12)may-a1204 [brightness and angular size in an expanding universe];
    López-Corredoira PoS-a1501 [tests of expansion].
  @ Arguments against expansion:
    Petry ASS(97) [redshift];
    Sumner ap/04 [contraction!];
    Whiting Obs-ap/04;
    Moret-Bailly ap/04;
    Chodorowski ONCP(07)ap/06;
    Bunn & Hogg AJP(09)-a0808 [Doppler shift as opposed to stretching];
    Chodorowski a0812;
    Crawford a0901 [no evidence of time dilation in GRBs],
    a0901 [supernovae];
    López-Corredoira IJMPD(10) [angular-size test];
    Rebhan PRD(12)-a1211 [expansion of space is just an interpretation];
    Janzen a1303-FQXi;
    Kragh a1507 [Jacob Halm's 1935 paper].
  @ The universe does expand: Lineweaver & Davis SA(05)mar;
    Abramowicz et al ap/06,
    a0812 [expansion vs motion of galaxies is verifiable];
    Faraoni GRG(10)-a0908.
  @ Other unconventional views: Leffert ap/05 [spatial condensation];
    Grøn & Elgarøy AJP(07)feb-ap/06 [response];
    He ap/06 [flat spacetime];
    Francis et al PASA(07)-a0707;
    Lewis et al MNRAS(07)-a0707 [counterargument];
    Tomozawa a0710 [center of expansion, from cmb dipole];
    Cook & Burns AJP(09)-a0803 [FLRW model with different interpretation];
    Baryshev a0810-proc ["paradoxes"];
    Christensen a0810;
    Farley PRS(10)-a1005  [no gravity between galaxies and no dark energy];
    Chernin a1107;
    Jain MPLA(12) [no expansion, increasing particle masses];
    Lewis AusP-a1605;
    > s.a. FLRW models.
I awoke on Friday and because the universe is expanding it took me longer than usual to find my robe... 
  – Woody Allen, in "Strung Out" The New Yorker, 18 Jul 2003.
 main page
  – abbreviations
  – journals – comments
  – other sites – acknowledgements
  send feedback and suggestions to bombelli at olemiss.edu – modified 22 dec 2020