[1]
|
S. Weinberg, “Gravitation and Cosmology: Principles and Applications of General Theory of Relativity,” John Wi- ley, New York, 1972.
|
[2]
|
L. D. Landau and E. M. Lifshitz, “Classical Theory of Fields,” Pergamon Press, Oxford, 1962.
|
[3]
|
R. C. Tolman, “Static Solutions of Einstein’s Field Equa- tions for Spheres of Fluid,” Physical Review, Vol. 55, No. 4, 1939, pp. 364-373
|
[4]
|
R. C. Tolman, “Relativity, Thermodynamics & Cosmol- ogy,” Clarendon Press, Oxford, 1962.
|
[5]
|
H. Nariai, “On a New Cosmological Solution of Ein- stein’s Field Equations of Gravitation, “ General Relativ- ity and Gravitation, Vol. 31, No. 6, 1999, pp. 963-971.
doi:10.1023/A:1026602724948
|
[6]
|
Z. Stuchlik and S. Hledk, “Some Properties of the Schwar- zschild-de Sitter and Schwarzschild-anti-de Sitter Space- times,” Physical Review D, Vol. 60, No. 4, 2000, Article ID: 044006.
|
[7]
|
C. G. Boehmer, “General Relativistic Static Fluid Solu- tions with Cosmological Constant,” Diploma Thesis, Pots- dam University, Potsdam, 2002, gr-qc/0308057.
|
[8]
|
C. G. Bohmer and G. Fodor, “Perfect Fluid Spheres with Cosmological Constant,” Physical Review D, Vol. 77, No. 6, 2008, Article ID: 064008
|
[9]
|
A. D. Rendall and B. G. Schmidt, “Existence and Proper- ties of Spherically Symmetric Static Fluid Bodies with a Given Equation of State,” Classical & Quantum Gravity, Vol. 8, No. 5, 1991, p. 985.
doi:10.1088/0264-9381/8/5/022
|
[10]
|
T. W. Baumgarte and A. D. Rendall, “Regularity of Sphe- rically Symmetric Static Solutions of the Einstein Equa- tions,” Classical & Quantum Gravity, Vol. 10, No. 2, 1993, p. 327. doi:10.1088/0264-9381/10/2/014
|
[11]
|
A. Einstein, “On a Stationary System with Spherical Sym- metry Consisting of Many Gravitating Masses,” Annals of Mathematics, Vol. 40, No. 4, 1939, pp. 922-936.
doi:10.2307/1968902
|
[12]
|
P. S. Florides, “A New Interior Schwarzschild Solution,” Proceedings of the Royal Society of London A, Mathematical and Physical Sciences, Vol. 337, No. 1611, 1974, pp. 529-535.
|
[13]
|
N. K. Kofinti, “On a New Interior Schwarzschild Solution,” General Relativity and Gravitation, Vol. 17, No. 3, 1985, pp. 245-249. doi:10.1007/BF00760246
|
[14]
|
C. G. Bohmer and F. S. N. Lobo, “A New Two-Sphere Singularity in General Relativity,” International Journal of Modern Physics D, Vol. 17, No. 06, 2008, pp. 897-910.
doi:10.1142/S0218271808012565
|
[15]
|
L. Rudnick, S. Brown and L. R. Williams, “Extragalactic Radio Sources and the WMAP Cold Spot,” The Astro- physical Journal, Vol. 671, No. 1, 2007, pp. 40-44.
|
[16]
|
C. Park, et al., “Topology Analysis of the Sloan Digital Sky Survey. I. Scale and Luminosity Dependence,” The Astrophysical Journal, Vol. 633, No. 1, 2005, pp. 11-22.
doi:10.1086/452625
|
[17]
|
R. R. Caldwell & A. Stebbins, “A Test of the Copernican Principle,” Physical Review Letters, Vol. 100, No. 19, 2008, Article ID: 191302.
|
[18]
|
A. Mitra, “No Uniform Density Star in General Relativity,” Astrophysics and Space Science, Vol. 333, No. 1, 2010, pp. 169-174. doi:10.1007/s10509-010-0567-8
|
[19]
|
H. A. Buchdahl, “General Relativistic Fluid Spheres,” Physical Review, Vol. 116, No. 4, 1959, pp. 1027-1034.
doi:10.1103/PhysRev.116.1027
|
[20]
|
N. Rosen, “The Energy of the Universe,” General Relativity and Gravitation, Vol. 26, No. 3, 1994, pp. 319-321.
doi:10.1007/BF02108013
|
[21]
|
F. I. Cooperstock, “Perspectives on the energy of the universe,” General Relativity and Gravitation, Vol. 26, No. 3, 1994, pp. 323-327. doi:10.1007/BF02108014
|
[22]
|
V. B. Johri, D. Kalligas, G. P. Singh and C. W. F. Everitt, “Gravitational Energy in the Expanding Universe,” Gen- eral Relativity and Gravitation, Vol. 27, No. 3, 1995, pp. 313-318. doi:10.1007/BF02109127
|
[23]
|
N. Banerjee and N. S. Sen, “Einstein Pseudotensor and Total Energy of the Universe,” Pramana, Vol. 49, No. 6, 1997, pp. 609-615. doi:10.1007/BF02848334
|
[24]
|
S. S. Xulu, “Total Energy of the Bianchi Type I Univer- ses,” International Journal of Theoretical Physics, Vol. 39, No. 4, 2000, pp. 1153-1161.
doi:10.1023/A:1003670928681
|
[25]
|
V. Faraoni and F. I. Cooperstock, “On the Total Energy of Open Friedmann-Robertson-Walker Universes,” The Astrophysical Journal, Vol. 587, No. 2, 2003, pp. 483- 486. doi:10.1086/368258
|
[26]
|
A. Mitra, “Why Gravitational Contraction Must Be Ac- companied by Emission of Radiation in Both Newtonian and Einstein Gravity,” Physical Review D, Vol. 74, No. 2, 2006, Article ID: 024010.
|
[27]
|
A. Mitra, “Does Pressure Increase or Decrease Active Gravitational Mass Density,” Physics Letters B, Vol. 685, No. 1, 2010, pp. 8-11.
|
[28]
|
K. Kleidis and N. K. Spyrou, “A Conventional Approach to the Dark-Energy Concept,” Astronomy & Astrophysics, Vol. 529, No. 1, 2011, Article ID: 529A26.
|
[29]
|
S. D. M. White, “Fundamentalist Physics: Why Dark Ener- gy Is Bad for Astronomy,” Reports on Progress in Phys- ics, Vol. 70, No. 6, 2007, pp. 883-897.
|
[30]
|
A. Mitra, “The Matter in the Big-Bang Model Is Dust and Not Any Arbitrary Perfect Fluid!” Astrophysics and Space Science, Vol. 333, No. 1, 2011, pp. 351-356.
doi:10.1007/s10509-011-0635-8
|
[31]
|
A. Mitra, “Einstein Energy Associated with the Friedmann- Robertson-Walker Metric,” General Relativity and Gravi- tation, Vol. 42, No. 3, 2010, pp. 443-469,
|
[32]
|
M. Kriele, “A Bound on the Concentration of Matter in Spherically Symmetric Stars & Its Application for the E- xistence of Black-Holes,” Rendiconti del Seminario Ma- tematico (Università e Politecnico di Torino), Vol. 50, No. 1, 1992, pp. 147-152.
|
[33]
|
A. Mitra, “Quantum Information Paradox: Real or Fictitious,” Pramana, Vol. 73, No. 3, 2009, pp. 615-620.
|
[34]
|
E. W. Kolb, “Backreaction of Inhomogeneities Can Mimic Dark Energy,” Classical and Quantum Gravity, Vol. 28, No. 16, 2011, Article ID: 164009.
doi:10.1088/0264-9381/28/16/164009
|
[35]
|
B. M. Leith, S. C. C. Ng and D. L. Wiltshire, “Gravita- tional Energy as Dark Energy: Concordance of Cosmological Tests,” The Astrophysical Journal, Vol. 672, No. 2, 2008, pp. L91-L94. doi:10.1086/527034
|
[36]
|
C. Clarkson and R. Maartens, “Inhomogeneity and the Foundations of Concordance Cosmology,” Classical and Quantum Gravity, Vol. 27, No. 12, 2010, Article ID: 124008.
|
[37]
|
M. Regis and C. Clarkson, “The Cosmic Microwave Back- ground in an Inhomogeneous Universe,” Journal of Cos- mology and Astroparticle Physics, Vol. 2011, No. 2, 2011, Article ID: 013.
|
[38]
|
C. Tsagas, “Peculiar Motions, Accelerated Expansion, and the Cosmological Axis,” Physical Review D, Vol. 84, No. 6, 2011, Article ID: 063503.
|
[39]
|
B. B. Mandelbrot, “The Fractal Geometry of Nature,” Free- man, New York, 1982.
|
[40]
|
Y. Baryshev and P. Teerikopri, “Discovery of Cosmic Frac- tals,” World Scientific, Singapore, 2002.
doi:10.1142/9789812388780
|
[41]
|
C. V. L. Charlier, “On the Structure of the Universe,” Pub- lications of the Astronomical Society of the Pacific, Vol. 37, 1925, pp. 53-76. doi:10.1086/123477
|
[42]
|
G. de Vaucouleurs, “The Case for a Hierarchical Cosmo- logy,” Science, Vol. 167, No. 3922, 1970, pp. 1203-1213.
doi:10.1126/science.167.3922.1203
|
[43]
|
Yu. V. Baryshev, F. Sylos Labini, M. Montuori, L. Pie- tronero and P. Teerikorpi, “On the Fractal Structure of Galaxy Distribution and Its Implications for Cosmology,” Fractals, Vol. 6, No. 3, 1998, pp. 231-243.
doi:10.1142/S0218348X98000286
|
[44]
|
V. Martinez, “COSMOLOGY: Is the Universe Fractal?” Science, Vol. 285, No. 5413, 1999, p. 445-446.
doi:10.1126/science.284.5413.445
|
[45]
|
K. Wu, O. Lahav and M. Rees, “The Large-Scale Smoo- thness of the Universe,” Nature, Vol. 397, No. 6716, 1999, pp. 225-230. doi:10.1038/16637
|
[46]
|
F. Sylos Labini, N. L. Vasilyev and Yu. V. Baryshev, “Ab- sence of Anti-Correlations and of Baryon Acoustic Os- cillations in the Galaxy Correlation Function from the Sloan Digital Sky Survey Data Release 7,” Astronomy and Astrophysics, Vol. 505, No. 3, 2009, pp. 981-990.
doi:10.1051/0004-6361/200911987
|
[47]
|
F. Sylos Labini, N. L. Vasilyev and Yu. V. Baryshev, “Absence of Self-Averaging and of Homogeneity in the Large-Scale Galaxy Distribution,” Europhysics Letters, Vol. 86, No. 4, 2009, Article ID: 49001.
doi:10.1209/0295-5075/86/49001
|
[48]
|
F. Sylos Labini, N. L. Vasilyev, L. Pietronero and Yu. V. Baryshev, “Persistent Fluctuations in the Distribution of Galaxies from the Two-degree Field Galaxy Redshift Survey,” Europhysics Letters, Vol. 85, No. 2, 2009, Arti- cle ID: 29002. doi:10.1209/0295-5075/85/29002
|
[49]
|
F. Sylos Labini and Yu. V. Baryshev, “Testing the Coper- nican and Cosmological Principles in the Local Universe with Galaxy Surveys,” Journal of Cosmology and Astroparticle Physics, Vol. 2010, No. 6, 2010, Article ID: 021.
|
[50]
|
F. Sylos Labini and L. Pietronero, “The Complex Universe: Recent Observations and Theoretical Challenges,” Journal of Statistical Mechanics: Theory and Experiment, Vol. 2010, No. 11, 2010, Article ID: 11029
|
[51]
|
F. Sylos Labini, “Inhomogeneities in the Universe,” Clas- sical and Quantum Gravity, Vol. 28, No. 16, 2011, Arti- cle ID: 164003.
|
[52]
|
F. Sylos Labini, “Very Large Scale Correlations in the Ga- laxy Distribution,” Europhysics Letters, Vol. 96, No. 5, 2011, Article ID: 59001. doi:10.1007/s10509-010-0578-5
|
[53]
|
Y. Baryshev and P. Teerikopri, “Fractal Approach to Large- Scale Galaxy Distribution,” Russian Academy of Sciences, Vol. 59, 2005. arXiv.org:astro-ph/0505185
|
[54]
|
A. Mitra, “The fallacy of Oppenheimer Snyder Collapse: No General Relativistic Collapse at All, No Black Hole, No Physical Singularity,” Astrophysics and Space Science, Vol. 332, No. 1, 2011 pp. 43-48.
|
[55]
|
A. Mitra, “Why the Astrophysical Black Hole Candidates Are Not Rotating Black Holes,” 2004.
arXiv:astro-ph/0407501
|
[56]
|
A. Mitra, “Why the Astrophysical Black Hole Candidates May Not Be Black Holes at All,” 2004.
arXiv:astro-ph/0409049
|
[57]
|
A. Mitra, “Comments on ‘The Euclidean Gravitational Ac- tion as Black Hole Entropy, Singularities, and Space- Time Voids’,” Journal of Mathematical Physics, Vol. 50, No. 4, 2009, Article ID: 042502.
|
[58]
|
A. Mitra, “Revisiting the Old Problem of General Relati- vistic Adiabatic Collapse of a Uniform Density Self-Gra- vitating Sphere,” Gravitation & Cosmology, Vol. 18, No. 1, 2012, (To be published).
|
[59]
|
S. A. Thomas, F. B. Abdalla and O. Lahav, “Excess Clus- tering on Large Scales in the MegaZ DR7 Photometric Redshift Survey,” Physical Review Letters, Vol. 106, No. 24, 2011, Article ID: 241301.
|
[60]
|
M. G. Walker, C. Combet, J. A. Hinton, D. Maurin and D. M. I. Wilkinson, “A Method for Measuring (Slopes of) the Mass Profiles of Dwarf Spheroidal Galaxies,” Astrophysical Journal Letters, Vol. 742, No. 1, 2011, Article ID: 20(2011).
|
[61]
|
R. E. Schild & M. Dekker, “The Transparency of the Uni- verse limited by Lyman Alpha clouds,” Astronomische Nachrichten, Vol. 327, No. 7, 2006, pp.729-732.
doi:10.1002/asna.200510612
|
[62]
|
C. H. Gibson and R. E. Schild, “Planets and Dark En- ergy,” Proceedings of the International Conference on Problems in Practical Cosmology, St. Petersburg, 23-27 June 2008, pp. 232-238.
|
[63]
|
G. R. F. Ellis, “Is the Universe Expanding?” General Re- lativity and Gravitation, Vol. 9, No. 2, 1978, pp. 87-94.
doi:10.1007/BF00760145
|
[64]
|
Y. A. Yatsunenk and J. A. Budagov, “Red Shift in a La- boratory Environment,” 2011. arXiv:1103.0808
|
[65]
|
A. Brynjolfsson, “Hubble Constant from Lensing in Pla- sma-Redshift Cosmology, and Intrinsic Redshift of Quasars,” 2004. arXiv:astro-ph/0411666
|
[66]
|
A. Brynjolfsson, “The Type Ia Supernovae and the Hub- ble’s Constant”, 2004. arXiv:astro-ph/0407430
|
[67]
|
A. Brynjolfsson, “Magnitude-Redshift Relation for SNe Ia, Time Dilation, and Plasma Redshift,” 2006.
arXiv:astro-ph/0602500
|
[68]
|
A. Brynjolfsson, “Surface Brightness in Plasma-Redshift Cosmology,” 2006. arXiv:astro-ph/0605599
|
[69]
|
Ashwini Kumar Lal, “Big Bang? A Critical Review,” Journal of Cosmology, Vol. 6, 2010, pp. 1533-1547.
|
[70]
|
M. Lopez-Corredoira, “Angular Size Test on the Expan- sion of the Universe,” International Journal of Modern Physics D, Vol. 19, No. 3, 2010, pp. 245-291.
|
[71]
|
N. Castro-Rodriguez and M. Lopez-Corredoira, “The Age of Extremely Red and Massive Galaxies at Very High Red- shift,” Astronomy & Astrophysics, 2011 (in press).
|
[72]
|
D. Kocevski and V. Petrosian, “On the Lack of Time Dilation Signatures in Gamma-ray Burst Light Curves,” Submitted to The Astrophysical Journal, 2011.
|
[73]
|
D. F. Crawford, “No Evidence of Time Dilation in Gamma- Ray Burst Data,” 2009. arXiv:0901.4169
|
[74]
|
D. F. Crawford, “Observational Evidence Favors a Static Universe (Part I),” Journal of Cosmology, Vol. 13, 2011, pp. 3875-3946
|
[75]
|
D. F. Crawford, “Observations of Type Ia Supernovae Are Consistent with a Static Universe,” 2009.
arXiv:0901.4172
|
[76]
|
A. Mitra, “Cosmological Properties of Eternally Collaps- ing Objects (ECOs),” Proceedings of International Con- ference on Problems of Practical Cosmology, Vol. 1, St. Petersburg, 23-27 June 2008, pp. 304-313.
|
[77]
|
C. I. Christov, “On the Evolution of Localized Wave Packets Governed by a Dissipative Wave Equation,” Wave Motion, Vol. 45, No. 3, 2008, pp. 154-161.
doi:10.1016/j.wavemoti.2007.05.004
|
[78]
|
J. G. Hartnett, “Is the Universe Really Expanding?” 2011. arXiv:1107.24851
|