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In the post-Newtonian parametrization of semi-conservative gravity theories, local Lorentz invariance (LLI) violation is characterized by two parameters, alpha_1 and alpha_2.
On a post-Galilean transformation appropriate to the post-Newtonian theory of Einstein, Infeld and Hoffmann
S. Chandrasekhar and G. Contopoulos · 1967
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Possible causes of the secular increase in pulsar periods
I. S. Shklovskii · 1970
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Conservation laws and preferred frames in relativistic gravity. II. Experimental evidence to rule out preferred-frame theories of gravity
K. Nordtvedt and C. M. Will · 1972
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C. M. Will and K. Nordtvedt · 1972
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Relativistic effects in the binary pulsar PSR 1913+16
B. M. Barker and R. F. O’Connell · 1975
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General relativistic celestial mechanics of binary systems. II. The post-Newtonian timing formula
T. Damour and N. Deruelle · 1986
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Probing gravity to the second post-Newtonian order and to one part in 10 7 10^{7} using the spin axis of the sun
K. Nordtvedt · 1987
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A test of the galactic origin of gamma-ray bursts
B. Paczynski · 1990
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New tests of the strong equivalence principle using binary-pulsar data
T. Damour and G. Schäfer · 1991
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On the orbital period change of the binary pulsar PSR 1913+16
T. Damour and J. H. Taylor · 1991
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Testing local Lorentz invariance of gravity with binary-pulsar data
T. Damour and G. Esposito-Farèse · 1992
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Tensor-multi-scalar theories of gravitation
T. Damour and G. Esposito-Farèse · 1992
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Strong-field tests of relativistic gravity and binary pulsars
T. Damour and J. H. Taylor · 1992
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Nonperturbative strong-field effects in tensor-scalar theories of gravitation
T. Damour and G. Esposito-Farèse · 1993
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Theory and Experiment in Gravitational Physics
C. M. Will · 1993
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On possible implications of orbital parallaxes of wide orbit binary pulsars and their measurability
S. M. Kopeikin · 1995
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Birth rate of millisecond pulsars
D. R. Lorimer, A. G. Lyne, L. Festin, and L. Nicastro · 1995
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PSR J1012+5307 – a 5.26-millisecond pulsar in a 14.5-hour binary system
L. Nicastro, A. G. Lyne, D. R. Lorimer, P. A. Harrison, M. Bailes, and B. D. Skidmore · 1995
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Orbital parameters of the PSR B1620 − - 26 triple system
Z. Arzoumanian, K. Joshi, F. A. Rasio, and S. E. Thorsett · 1996
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A tighter test of the local Lorentz invariance of gravity using PSR J2317+1439
J. F. Bell, F. Camilo, and T. Damour · 1996
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Testing gravity to second post-Newtonian order: A field-theory approach
T. Damour and G. Esposito-Farèse · 1996
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Testing for gravitationally preferred directions using the lunar orbit
T. Damour and D. Vokrouhlický · 1996
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Evidence from a processing pulsar orbit for a neutron-star birth kick
V. M. Kaspi, M. Bailes, R. N. Manchester, B. W. Stappers, and J. F. Bell · 1996
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Proper motion of binary pulsars as a source of secular variations of orbital parameters
S. M. Kopeikin · 1996
Recycled pulsars
B. A. Jacoby · 2005
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Discovery of three wide-orbit binary pulsars: implications for binary evolution and equivalence principles
I. H. Stairs, A. J. Faulkner, A. G. Lyne, M. Kramer, D. R. Lorimer, M. A. McLaughlin, R. N. Manchester, G. B. Hobbs, F. Camilo, A. Possenti, M. Burgay, N. D’Amico, P. C. Freire, and P. C. Gregory · 2005
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Signals for Lorentz violation in post-Newtonian gravity
Q. G. Bailey and V. A. Kostelecký · 2006
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Tests of general relativity from timing the double pulsar
M. Kramer, I. H. Stairs, R. N. Manchester, M. A. McLaughlin, A. G. Lyne, R. D. Ferdman, M. Burgay, D. R. Lorimer, A. Possenti, N. D’Amico, J. M. Sarkissian, G. B. Hobbs, J. E. Reynolds, P. C. C. Freire, and F. Camilo · 2006
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The confrontation between general relativity and experiment
C. M. Will · 2006
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Strong field effects on binary systems in Einstein-aether theory
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Distant companions and planets around millisecond pulsars
K. J. Joshi and F. A. Rasio, · 1997
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The mass of the neutron star in the binary millisecond pulsar PSR J1012+5307
P. J. Callanan, P. M. Garnavich, and D. Koester · 1998
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A timing formula for main-sequence star binary pulsars
N. Wex · 1998
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Discovery of a young radio pulsar in a relativistic binary orbit
V. M. Kaspi, A. G. Lyne, R. N. Manchester, F. Crawford, F. Camilo, J. F. Bell, N. D’Amico, I. H. Stairs, N. P. F. McKay, D. J. Morris, and A. Possenti · 2000
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Local galactic kinematics from Hipparcos proper motions
F. Mignard · 2000
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Small-eccentricity binary pulsars and relativistic gravity
N. Wex · 2000
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B. Z. Foster · 2007
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A characteristic observable signature of preferred-frame effects in relativistic binary pulsars
N. Wex and M. Kramer · 2007
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Lunar laser ranging contributions to relativity and geodesy
J. Müller, J. G. Williams, and S. G. Turyshev · 2008
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Gravitomagnetism and lunar laser ranging
M. Soffel, S. Klioner, J. Müller, and L. Biskupek · 2008
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Five-year Wilkinson Microwave Anisotropy Probe observations: data processing, sky maps, and basic results
G. Hinshaw, J. L. Weiland, R. S. Hill, and et al · 2009
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The double pulsar system: a unique laboratory for gravity
M. Kramer and N. Wex · 2009
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Generic tests of the existence of the gravitational dipole radiation and the variation of the gravitational constant
K. Lazaridis, N. Wex, A. Jessner, M. Kramer, B. W. Stappers, G. H. Janssen, G. Desvignes, M. B. Purver, I. Cognard, G. Theureau, A. G. Lyne, C. A. Jordan, and J. A. Zensus · 2009
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Pulsar searches and timing with the square kilometre array
R. Smits, M. Kramer, B. Stappers, D. R. Lorimer, J. Cordes, and A. Faulkner · 2009
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Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: sky maps, systematic errors, and basic results
N. Jarosik, C. L. Bennett, J. Dunkley, and et al · 2011
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Data tables for Lorentz and CPT violation
V. A. Kostelecký and N. Russell · 2011
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The five-hundred aperture spherical radio telescope (FAST) project
R. Nan, D. Li, C. Jin, Q. Wang, L. Zhu, W. Zhu, H. Zhang, Y. Yue, and L. Qian · 2011
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The relativistic pulsar-white dwarf binary PSR J1738+0333 I. Mass determination and evolutionary history
J. Antoniadis, M. H. van Kerkwijk, D. Koester, P. C. C. Freire, N. Wex, T. M. Tauris, M. Kramer, and C. G. Bassa · 2012
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The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
P. C. C. Freire, N. Wex, G. Esposito-Farèse, J. P. W. Verbiest, M. Bailes, B. A. Jacoby, M. Kramer, I. H. Stairs, J. Antoniadis, and G. H. Janssen · 2012
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