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We review attempts to estimate the influence of global cosmological expansion on local systems.
Kottler, F., 1918, “Über die physikalischen Grundlagen der Einsteinschen Gravitationstheorie,” Annalen der Physik 56
1918
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Lanczos, K., 1924, “Flächenhafte Verteilung der Materie in der Einsteinschen Gravitationstheorie,” Annalen der Physik 379
1924
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Darmois, G., 1927, “Les équations de la gravité einsteinienne,” Mémorial des sciences mathématiques XXV
1927
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Robertson, H. P., 1928, “On Relativistic Cosmology,” Philosophical Magazine 5
1928
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Hubble, E., 1929, “A Relation Between Distance and Radial Velocity Among Extra-Galactic Nebulae,” Proceedings of the National Academy of Sciences of the United States of America 15
1929
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Lemaître, G., 1933, “L’Univers en expansion,” Annales de la Société Scientifique de Bruxelles, Series A, Sciences Mathématiques, Astronomiques et Physiques 53
1933
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Lemaître, G., 1997, “The expanding universe,” General Relativity and Gravitation 29
1933
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McVittie, G. C., 1933, “The mass-particle in an expanding universe,” Monthly Notices of the Royal Astronomical Society 93
1933
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Einstein, A., and E. G. Straus, 1945, “The Influence of the Expansion of Space on the Gravitation Fields Surrounding the Individual Stars,” Reviews of Modern Physics 17
1945
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Einstein, A., and E. G. Straus, 1946, “Corrections and Additional Remarks to our Paper: The Influence of the Expansion of Space on the Gravitation Fields Surrounding the Individual Stars,” Reviews of Modern Physics 18
1946
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Hayward, S. A., 1996, “Gravitational energy in spherical symmetry,” Physical Review D 53
1949
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Schücking, E., 1954, “Das Schwarzschildsche Linienelement und die Expansion des Weltalls,” Zeitschrift für Physik 137
1954
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Pachner, J., 1963, “Mach’s Principle in Classical and Relativistic Physics,” Physical Review 132
1963
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Dicke, R. H., and P. J. E. Peebles, 1964, “Evolution of the Solar System and the Expansion of the Universe,” Physical Review Letters 12
1964
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Misner, C. W., and D. H. Sharp, 1964, “Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse,” Physical Review 136
1964
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Pachner, J., 1964, “Nonconservation of Energy During Cosmic Evolution,” Physical Review Letters 12
1964
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Hernandez, J., Walter C., and C. W. Misner, 1966, “Observer Time as a Coordinate in Relativistic Spherical Hydrodynamics,” Astrophysical Journal 143
1966
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Israel, W., 1966, “Singular Hypersurfaces and Thin Shells in General Relativity,” Nuovo Cimento 44B
1966
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Hawking, S. W., 1968, “Gravitational Radiation in an Expanding Universe,” Journal of Mathematical Physics 9
1968
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Noerdlinger, P. D., and V. Petrosian, 1971, “The Effect of Cosmological Expansion on Self-Gravitating Ensembles of Particles,” Astrophysical Journal 168
1971
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Ranada, A. F., 2005, “The Pioneer anomaly as acceleration of the clocks,” Foundations of Physics 34
1971
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Misner, C. W., K. S. Thorne, and J. A. Wheeler, 1973, Gravitation (W.H. Freeman and Company, New York)
1973
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Eisenstaedt, J., 1977, “Density constraint on local inhomogeneities of a Robertson-Walker cosmological universe,” Physical Review D 16
1977
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Vaidya, P. C., 1977, “The Kerr metric in cosmological background,” Pramana 8
1977
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Geyer, K. H., 1980, “Geometrie der Raum-Zeit der Maßbestimmung von Kottler, Weyl und Trefftz,” Astronomische Nachrichten 301
1980
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Kodama, H., 1980, “Conserved Energy Flux for the Spherically Symmetric System and the Backreaction Problem in the Black Hole Evaporation,” Progress of Theoretical Physics 63
1980
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Patel, L. K., and H. B. Trivedi, 1982, “Kerr-Newman metric in cosmological background,” Journal of Astrophysics and Astronomy 3
1982
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O’Neill, B., 1983, Semi-Riemannian Geometry with Applications to Relativity (Academic Press, Orlando)
1983
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Gautreau, R., 1984, “Imbedding a Schwarzschild mass into cosmology,” Physical Review D 29
1984
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Vaidya, P. C., 1984, “Kerr metric in the de Sitter background.,” Pramana 22
1984
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van den Bergh, N., and P. Wils, 1984, “Imbedding a Schwarzschild mass into cosmology,” Physical Review D 29
1984
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Bona, C., and J. Stela, 1987, ““Swiss cheese” models with pressure,” Physical Review D 36
1987
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Balbinot, R., R. Bergamini, and A. Comastri, 1988, “Solution of the Einstein-Strauss problem with a Λ \Lambda term,” Physical Review D 38
1988
Earlier work this paper cites.
Sussman, R. A., 1988, “On spherically symmetric shear-free perfect fluid configurations (neutral and charged). III. Global view,” Journal of Mathematical Physics 29
1988
Cited alongside, same era.
1990
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Burnett, G. A., 1991, “Incompleteness theorems for the spherically symmetric spacetimes,” Physical Review D 43
1991
Cited alongside, same era.
Nolan, B. C., 1993, “Sources for McVittie’s Mass Particle in an Expanding Universe,” Journal of Mathematical Physics 34
1993
Cited alongside, same era.
Bini, D., P. Carini, and R. T. Jantzen, 1995, “Relative Observer Kinematics in General Relativity,” Classical and Quantum Gravity 12
1995
Krasinsky, G. A., and V. A. Brumberg, 2004, “Secular increase of astronomical unit from analysis of the major planet motions, and its interpretation,” Celestial Mechanics and Dynamical Astronomy 90
2004
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Nieto, M. M., and S. G. Turyshev, 2004, “Finding the origin of the Pioneer anomaly,” Classical and Quantum Gravity 21
2004
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Standish, E. M., 2004, “The Astronomical Unit now,” in Transits of Venus: New Views of the Solar System and Galaxy, Proceedings of the IAU Colloquium No. 196, 2004 , edited by D. W. Kurtz (Cambridge University Press, Cambridge), 163–179
2004
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Straumann, N., 2004, General Relativity with Applications to Astrophysics , Texts and Monographs in Physics (Springer-Verlag, Berlin)
2004
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Szabados, L. B., 2004, “Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article,” Living Reviews in Relativity 7
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Cited alongside, same era.
Ferraris, M., M. Francaviglia, and A. Spallicci, 1996, “Associated radius, energy and pressure of McVittie’s metric, in its astrophysical application,” Nuovo Cimento B111
1996
Cited alongside, same era.
Senovilla, J. M. M., and R. Vera, 1997, “Impossibility of the Cylindrically Symmetric Einstein-Straus Model,” Physical Review Letters 78
1997
Cited alongside, same era.
Anderson, J. D., P. A. Laing, E. L. Lau, A. S. Liu, M. M. Nieto, and S. G. Turyshev, 1998, “Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration,” Physical Review Letters 81
1998
Cited alongside, same era.
Cooperstock, F. I., V. Faraoni, and D. N. Vollick, 1998, “The Influence of the Cosmological Expansion on Local Systems,” Astrophysical Journal 503
1998
Cited alongside, same era.
Giulini, D., 1998, “On the Construction of Time-Symmetric Black Hole Initial Data,” LNP Vol. 514: Black Holes: Theory and Observation 514
1998
Cited alongside, same era.
Hayward, S. A., 1998, “Inequalities Relating Area, Energy, Surface Gravity, and Charge of Black Holes,” Physical Review Letters 81
1998
Cited alongside, same era.
Krasiński, A., 1998, Inhomogeneous Cosmological Models , Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge)
1998
Cited alongside, same era.
2004
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Buchert, T., and A. Dominguez, 2005, “Adhesive Gravitational Clustering,” Astronomy and Astrophysics 438
2005
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Carrera, M., and D. Giulini, 2005, “On the influence of the global cosmological expansion on the local dynamics in the Solar System,”, European Space Agency, the Advanced Concepts Team, Ariadna Final Report 04-1302, eprint arXiv:gr-qc/0602098
2005
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Mena, F. C., R. Tavakol, and R. Vera, 2005, “Generalisations of the Einstein-Straus model to cylindrically symmetric settings,” in The Tenth Marcel Grossmann Meeting. On recent developments in theoretical and experimental general relativity, gravitation and relativistic field theories , edited by M. Novello, S. Perez Bergliaffa, and R. Ruffini (World Scientific, Singapore), 1749–1751, eprint arXiv:gr-qc/0405043
2005
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Nieto, M. M., S. G. Turyshev, and J. D. Anderson, 2005, “Directly measured limit on the interplanetary matter density from Pioneer 10 and 11,” Physics Letters B 613
2005
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Palle, D., 2005, “On the anomalous acceleration in the solar system,” Acta Physica Slovaca 55
2005
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Price, R. H., 2005, “In an expanding universe, what doesn’t expand?,” eprint arXiv:gr-qc/0508052
2005
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Ramachandra, B. S., K. R. Nayak, and C. V. Vishveshwara, 2003, “Kerr Black Hole in the Background of the Einstein Universe,” General Relativity and Gravitation 35
2005
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Sultana, J., and C. C. Dyer, 2005, “Cosmological black holes: A black hole in the Einstein–de Sitter universe,” General Relativity and Gravitation 37
2005
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Barnes, L. A., M. J. Francis, J. B. James, and G. F. Lewis, 2006, “Joining the Hubble Flow: Implications for Expanding Space,” Monthly Notices of the Royal Astronomical Society 373
2006
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Carrera, M., and D. Giulini, 2006, “On Doppler tracking in cosmological spacetimes,” Classical and Quantum Gravity 23
2006
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Hartl, M. G., 2006, Untersuchungen über den Einfluss der kosmologischen Expansion auf die Dynamik lokaler Systeme , Diploma thesis, University of Freiburg, Germany
2006
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Kagramanova, V., J. Kunz, and C. Lämmerzahl, 2006, “Solar system effects in Schwarzschild–de Sitter space–time,” Physics Letters B 634
2006
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Lämmerzahl, C., O. Preuss, and H. Dittus, 2006, “Is the physics within the Solar system really understood?,” eprint arXiv:gr-qc/0604052
2006
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McClure, M. L., 2006, Cosmological Black Holes as models of cosmological inhomogeneities , Ph.D. thesis, University of Toronto
2006
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Räsänen, S., 2006, “Accelerated expansion from structure formation,” Journal of Cosmology and Astroparticle Physics 11
2006
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Adkins, G. S., J. McDonnell, and R. N. Fell, 2007, “Cosmological perturbations on local systems,” Physical Review D 75
2007
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Bolós, V. J., 2007, “Intrinsic Definitions of “Relative Velocity” in General Relativity,” Communications in Mathematical Physics 273
2007
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Cox, D. P. G., 2007, “How far is ‘infinity’?,” General Relativity and Gravitation 39
2007
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Faraoni, V., and A. Jacques, 2007, “Cosmological Expansion and Local Physics,” Physical Review D 76
2007
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Sereno, M., and P. Jetzer, 2007, “Evolution of Gravitational Orbits in the Expanding Universe,” Physical Review D 75
2007
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Wiltshire, D. L., 2007, “Exact Solution to the Averaging Problem in Cosmology,” Physical Review Letters 99
2007
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Buchert, T., 2008, “Dark Energy from Structure - A Status Report,” General Relativity and Gravitation 40
2008
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Fahr, H. J., and M. Siewert, 2008, “Imprints from the Global Cosmological Expansion on the Local Spacetime Dynamics,” Naturwissenschaften 95
2008
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2008
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Carrera, M., 2009, Ph.D. thesis, University of Freiburg (Germany)
2009
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2009
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Komatsu, E., et al. , 2009, “Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation,” Astrophysical Journal, Supplement Series 180
2009
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