2009

The Tensor-Vector-Scalar theory and its cosmology

Skordis, Constantinos

Understand

Over the last few decades, astronomers and cosmologists have accumulated vast amounts of data clearly demonstrating that our current theories of fundamental particles and of gravity are inadequate to explain the observed discrepancy between the dynamics and the distribution of the visible matter in the Universe.

The Modified Newtonian Dynamics (MOND) proposal aims at solving the problem by postulating that Newton's second law of motion is modified for accelerations smaller than ~10^{-10}m/s^2.
This simple amendment, has had tremendous success in explaining galactic rotation curves.
However, being non-relativistic, it cannot make firm predictions for cosmology.

Built on

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The force exerted by the stellar system in the direction perpendicular to the galactic plane and some related problems
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Rotational properties of 21 SC galaxies with a large range of luminosities and radii, from NGC 4605 ( R = 4 k p c R=4kpc ) to UGC 2885 ( R = 122 k p c R=122kpc )
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The Collisionless Damping of Density Fluctuations in an Expanding Universe
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A Modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
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A Modification of the Newtonian dynamics: Implications for galaxies
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A modification of the Newtonian dynamics: implications for galaxy systems
M. Milgrom · 1983
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Does the missing mass problem signal the breakdown of Newtonian gravity?
J. Bekenstein and Mordehai Milgrom · 1984
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A Decisive test to confirm or rule out existence of dark matter using gravitational wave observations
E. O. Kahya · 1984
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Generalizing TeVeS Cosmology
Constantinos Skordis · 1985
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Non-Newtonian forces and the invisible mass problem
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Phase coupling gravitation: symmetries and gauge fields
J. D. Bekenstein · 1988
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The rotation curve of DDO 154: A Particularly acute test of the modified dynamics
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Exact vacuum solution to conformal Weyl gravity and galactic rotation curves
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Mass discrepancies in galaxies: dark matter and alternatives
R. H. Sanders · 1990
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On identically closed forms locally constructed from a field
R. M. Wald · 1990
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Extended rotation curves of spiral galaxies: Dark haloes and modified dynamics
K. G. Begeman, A. H. Broeils, and R. H. Sanders · 1991
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W-modes: A New family of normal modes of pulsating relativistic stars
K. D. Kokkotas and Bernard F. Schutz · 1992
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The Relation between physical and gravitational geometry
Jacob D. Bekenstein · 1993
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Gravitational lenses and unconventional gravity theories
Jacob D. Bekenstein and Robert H. Sanders · 1994
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The Cosmon model for an asymptotically vanishing time dependent cosmological ’constant’
Christof Wetterich · 1995
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A stratified framework for scalar-tensor theories of Modified Dynamics
R. H. Sanders · 1997
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Structure formation with a self-tuning scalar field
Pedro G. Ferreira and Michael Joyce · 1997
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The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Cur vature of the Universe Using Type Ia Supernovae
Brian P. Schmidt et al · 1998
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EROS and MACHO Combined Limits on Planetary-Mass Dark Matter in the Galactic Halo
C. Alcock et al · 1998
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Testing the Hypothesis of Modified Dynamics with Low Surface Brightness Galaxies and Other Evidence
Stacy S. McGaugh and W. J. G. de Blok · 1998
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Cosmology with a Primordial Scaling Field
Pedro G. Ferreira and Michael Joyce · 1998
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Measurements of Omega and Lambda from 42 High-Redshift Supernovae
S. Perlmutter et al · 1999
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Direct search for mass of neutrino and anomaly in the tritium beta-spectrum
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High precision measurement of the tritium beta spectrum near its endpoint and upper limit on the neutrino mass
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Erratum to : High precision measurement of the tritium beta spectrum near its endpoint and upper limit on the neutrino mass
C. Weinheimer et al · 1999
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k-Inflation
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Earlier work this paper cites.

Similar

Quasi-normal modes of stars and black holes
Kostas D. Kokkotas and Bernd G. Schmidt · 1999
Cited alongside, same era.
The CASTLES project
J. A. Munoz et al · 1999
Cited alongside, same era.
The MACHO project: Microlensing results from 5.7 years of LMC observations
C. Alcock et al · 2000
Cited alongside, same era.
Supersymmetric dark matter
K. Griest and M. Kamionkowski · 2000
Cited alongside, same era.
The Baryonic Tully-Fisher Relation
Stacy S. McGaugh, Jim M. Schombert, Greg D. Bothun, and W. J. G. de Blok · 2000
Cited alongside, same era.
A dynamical solution to the problem of a small cosmological constant and late-time cosmic acceleration
C. Armendariz-Picon, Viatcheslav F. Mukhanov, and Paul J. Steinhardt · 2000
Cited alongside, same era.
Phenomenology of a realistic accelerating universe using only Planck-scale physics
Andreas Albrecht and Constantinos Skordis · 2000
Cited alongside, same era.
Quintessence arising from exponential potentials
T. Barreiro, Edmund J. Copeland, and N. J. Nunes · 2000
Cited alongside, same era.
Coupled quintessence
Luca Amendola · 2000
Cited alongside, same era.
The general primordial cosmic perturbation
Martin Bucher, Kavilan Moodley, and Neil Turok · 2000
Cited alongside, same era.
Rotation Curves of Spiral Galaxies
Yoshiaki Sofue and Vera Rubin · 2001
Cited alongside, same era.
Bimetric gravity and [dark matter]
I. T. Drummond · 2001
Cited alongside, same era.

Then

TeVeS cosmology: Covariant formalism for the background evolution and linear perturbation theory
Constantinos Skordis · 2006
Later among the works it cites.
Constraining Isocurvature Initial Conditions with WMAP 3- year data
Rachel Bean, Joanna Dunkley, and Elena Pierpaoli · 2006
Later among the works it cites.
Cosmic Microwave Background in TeVeS theory
D. F. Mota, P. G. Ferreira, and C. Skordis · 2006
Later among the works it cites.
On the Growth of Perturbations as a Test of Dark Energy
Edmund Bertschinger · 2006
Later among the works it cites.
Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
S. L. Dubovsky and S. M. Sibiryakov · 2006
Later among the works it cites.
Structure of Neutron Stars in Tensor-Vector-Scalar Theory
Paul D. Lasky, Hajime Sotani, and Dimitrios Giannios · 2006
Later among the works it cites.
The 2004 Hyperflare from SGR 1806-20: Further Evidence for Global Torsional Vibrations
Tod E. Strohmayer and Anna L. Watts · 2006
Later among the works it cites.
Post-Newtonian parameters and constraints on Einstein- aether theory
Brendan Z. Foster and Ted Jacobson · 2006
Later among the works it cites.
Solar system constraints on multifield theories of modified dynamics
R. H. Sanders · 2006
Later among the works it cites.
MOND habitats within the solar system
Jacob Bekenstein and Joao Magueijo · 2006
Later among the works it cites.
Theoretical aspects of gravitational lensing in TeVeS
Mu-Chen Chiu, Chung-Ming Ko, and Yong Tian · 2006
Later among the works it cites.
Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry
Garry W. Angus, Benoit Famaey, and HongSheng Zhao · 2006
Later among the works it cites.
Testing Bekenstein’s Relativistic MOND gravity with Gravitational Lensing
Hong-Sheng Zhao, David J. Bacon, Andy N. Taylor, and Keith Horne · 2006
Later among the works it cites.
The vector-tensor nature of Bekenstein’s relativistic theory of modified gravity
T. G. Zlosnik, P. G. Ferreira, and Glenn D. Starkman · 2006
Later among the works it cites.
Field-theoretical formulations of MOND-like gravity
Jean-Philippe Bruneton and Gilles Esposito-Farese · 2007
Later among the works it cites.
The cosmological behavior of Bekenstein’s modified theory of gravity
F. Bourliot, P. G. Ferreira, D. F. Mota, and C. Skordis · 2007
Later among the works it cites.
The isocurvature fraction after WMAP 3-year data
Roberto Trotta · 2007
Later among the works it cites.
Wilkinson Microwave Anisotropy Probe (WMAP) three year results: Implications for cosmology
D. N. Spergel et al · 2007
Later among the works it cites.
Constraints on a New Post-General Relativity Cosmological Parameter
Robert Caldwell, Asantha Cooray, and Alessandro Melchiorri · 2007
Later among the works it cites.
Galaxy-CMB Cross-Correlation as a Probe of Alternative Models of Gravity
Fabian Schmidt, Michele Liguori, and Scott Dodelson · 2007
Later among the works it cites.
A Parameterized Post-Friedmann Framework for Modified Gravity
Wayne Hu and Ignacy Sawicki · 2007
Later among the works it cites.
Lorentz violation and perpetual motion
Christopher Eling, Brendan Z. Foster, Ted Jacobson, and Aron C. Wall · 2007
Later among the works it cites.
A general variational principle for spherically symmetric perturbations in diffeomorphism covariant theories
Michael D. Seifert and Robert M. Wald · 2007
Later among the works it cites.
Stability of spherically symmetric solutions in modified theories of gravity
Michael D. Seifert · 2007
Later among the works it cites.
On causality and superluminal behavior in classical field theories. Applications to k-essence theories and MOND-like theories of gravity
Jean-Philippe Bruneton · 2007
Later among the works it cites.
A generic test of modified gravity models which emulate dark matter
E. O. Kahya and R. P. Woodard · 2007
Later among the works it cites.
A Born-Infeld action for dark energy and dark matter
Máximo Bañados · 2008
Later among the works it cites.
Black holes in the TeVeS theory of gravity and their thermodynamics
Eva Sagi and Jacob D. Bekenstein · 2008
Later among the works it cites.
Do Newton’s G and Milgrom’s a 0 a_{0} vary with cosmological epoch?
Jacob D. Bekenstein and Eva Sagi · 2008
Later among the works it cites.
Constraining TeVeS gravity as effective dark matter and dark energy
HongSheng Zhao · 2008
Later among the works it cites.
Dark Matter, Modified Gravity and the Mass of the Neutrino
P. G. Ferreira, C. Skordis, and C. Zunckel · 2008
Later among the works it cites.
Cosmological Constraints on Isocurvature and Tensor Perturbations
Masahiro Kawasaki and Toyokazu Sekiguchi · 2008
Later among the works it cites.
Large Scale Structure as a Probe of Gravitational Slip
Scott F. Daniel, Robert R. Caldwell, Asantha Cooray, and Alessandro Melchiorri · 2008
Later among the works it cites.
Parametrized Post-Friedmann Signatures of Acceleration in the CMB
Wayne Hu · 2008
Later among the works it cites.
Alfvén QPOs in Magnetars
Hajime Sotani, Kostas D. Kokkotas, and Nikolaos Stergioulas · 2008
Later among the works it cites.
Thesis title
T. G. Zlosnik · 2008
Later among the works it cites.
TeVeS gets caught on caustics
Carlo R. Contaldi, Toby Wiseman, and Benjamin Withers · 2008
Later among the works it cites.
Post-Newtonian parameters in the tensor-vector-scalar theory
Takashi Tamaki · 2008
Later among the works it cites.
Generalized Einstein-Aether theories and the Solar System
Camille Bonvin, Ruth Durrer, Pedro G. Ferreira, Glenn Starkman, and Tom G. Zlosnik · 2008
Later among the works it cites.
Strong lensing probability in TeVeS theory
Da-Ming Chen · 2008
Later among the works it cites.
Is Gravitational Lensing by Intercluster Filaments Always Negligible?
Dong Xu et al · 2008
Later among the works it cites.
An analytic model for non-spherical lenses in covariant MOdified Newtonian Dynamics
HuanYuan Shan, Martin Feix, Benoit Famaey, and HongSheng Zhao · 2008
Later among the works it cites.
On the growth of structure in theories with a dynamical preferred frame
T. G Zlosnik, P. G. Ferreira, and G. D. Starkman · 2008
Later among the works it cites.
Detecting a Lorentz-Violating Field in Cosmology
Baojiu Li, David Fonseca Mota, and John D. Barrow · 2008
Later among the works it cites.
Gravitational Lenses in Generalized Einstein-Aether theory: the Bullet Cluster
De-Chang Dai, Reijiro Matsuo, and Glenn Starkman · 2008
Later among the works it cites.
Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectra
M. R. Nolta et al · 2009
Closest in time.
Halos of Modified Gravity
Kirill Krasnov and Yuri Shtanov · 2009
Closest in time.
Modified Gravity as an Alternative to Dark Matter
Jacob D. Bekenstein · 2009
Closest in time.
Non-Metric Gravity II: Spherically Symmetric Solution, Missing Mass and Redshifts of Quasars
Kirill Krasnov and Yuri Shtanov · 2047
Closest in time.

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