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A. Riess, A. Filippenko, P. Challis, A. Clocchiatti, A. Diercks, P. Garnavich, R. Gilliland, C. Hogan, S. Jha, R. Kirshner, B. Leibundgut, M. Phillips, D. Reiss, B. Schmidt, R. Schommer, R. Smith, R. Smith, J. Spyromilio, C. Stubbs, N. Suntzeff, J. Tonry (1998)
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological ConstantThe Astronomical Journal, 116
S. Capozziello (2002)
Curvature Quintessence
M. Madsen (1988)
Scalar fields in curved spacetimesClassical and Quantum Gravity, 5
E. Barausse, T. Sotiriou, T. Sotiriou, J. Miller, J. Miller (2007)
Curvature singularities, tidal forces and the viability of Palatini f(R) gravityClassical and Quantum Gravity, 25
V. Faraoni (2008)
Palatini f(R) gravity as a fixed pointPhysics Letters B, 665
C. Barceló, M. Visser (2000)
Scalar fields, energy conditions and traversable wormholesClassical and Quantum Gravity, 17
David ota, John Barrow (2004)
Inhomogeneous Gravity
Changjun Gao, Xuelei Chen, V. Faraoni, You-gen Shen (2008)
Does the mass of a black hole decrease due to the accretion of phantom energyPhysical Review D, 78
S. Deser, J. Franklin (2004)
Schwarzschild and Birkhoff a la WeylAmerican Journal of Physics, 73
B. Barris, J. Tonry, S. Blondin, P. Challis, R. Chornock, A. Clocchiatti, A. Filippenko, P. Garnavich, S. Holland, S. Jha, R. Kirshner, K. Krisciunas, B. Leibundgut, Weidong Li, T. Matheson, G. Miknaitis, A. Riess, B. Schmidt, R. Smith, J. Sollerman, J. Spyromilio, C. Stubbs, N. Suntzeff, H. Aussel, K. Chambers, M. Connelley, D. Donovan, J. Henry, N. Kaiser, Michael Liu, E. Martín, R. Wainscoat (2003)
23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7arXiv: Astrophysics
H. Schmidt (2006)
Fourth order gravity: Equations, history, and applications to cosmologyInternational Journal of Geometric Methods in Modern Physics, 04
V. Faraoni, Nicolas Lanahan-Tremblay (2008)
Breakdown of the initial value formulation of scalar-tensor gravity and its physical meaningPhysical Review D, 78
A. Helfer (2000)
What is the Fate of a Black Hole
E. Barausse, T. Sotiriou, J. Miller (2008)
Polytropic spheres in Palatini f(R) gravityEas Publications Series, 30
Nicolas Lanahan-Tremblay, V. Faraoni (2007)
The Cauchy problem of f(R) gravityClassical and Quantum Gravity, 24
(2005)
Nuovo Cimento 11
S. Deser (2005)
Introduction to Jebsen's paperGeneral Relativity and Gravitation, 37
Alternatively, one can require that the Lie derivatives of T (m) ab along the directions of the two Killing vectors t a (timelike) and ψ c (spacelike) vanish
M. Singh (1986)
Birkhoff's theorem in a new scalar-tensor theory.Physical review. D, Particles and fields, 34 2
Eloy Ayón-Beato, Cristián Martínez, J. Zanelli (2004)
Stealth scalar field overflying a 2+1 black holeGeneral Relativity and Gravitation, 38
L. Landau, E. Lifshitz, W. Rarita (1952)
Classical theory of fields
Jonathan Swift, Jonathan Williams (1998)
Accepted for Publication in the Astrophysical Journal on the Evolution of the Dense Core Mass Function
S. Hawking (1972)
Black holes in the Brans-DickeCommunications in Mathematical Physics, 25
M. McClure, C. Dyer (2006)
Asymptotically Einstein–de Sitter cosmological black holes and the problem of energy conditionsClassical and Quantum Gravity, 23
A. Riess, P. Nugent, R. Gilliland, B. Schmidt, J. Tonry, M. Dickinson, R. Thompson, T. Budavári, S. Casertano, A. Evans, A. Filippenko, M. Livio, D. Sanders, A. Shapley, H. Spinrad, C. Steidel, D. Stern, J. Surace, S. Veilleux (2001)
The Farthest Known Supernova: Support for an Accelerating Universe and a Glimpse of the Epoch of DecelerationThe Astrophysical Journal, 560
D. Sen, K. Dunn (1971)
A Scalar-Tensor Theory of Gravitation in a Modified Riemannian ManifoldJournal of Mathematical Physics, 12
P. Higgs (1959)
Quadratic lagrangians and general relativityIl Nuovo Cimento (1955-1965), 11
F. Briscese, E. Elizalde, S. Nojiri, S. Odintsov (2006)
Phantom scalar dark energy as modified gravity: Understanding the origin of the Big Rip singularityPhysics Letters B, 646
D. Demir, B. Puliçe (2006)
Non-gravitating scalars and spacetime compactificationPhysics Letters B, 638
HIGH-z Supernovae, J. Tonry, B. Schmidt, B. Barris, P. Candia, P. Challis, A. Clocchiatti, A. Coil, A. Filippenko, P. Garnavich, C. Hogan, S. Holland, S. Jha, R. Kirshner, K. Krisciunas, B. Leibundgut, Weidong Li, T. Matheson, M. Phillips, A. Riess, R. Schommer, R. Smith, J. Sollerman, J. Spyromilio, C. Stubbs, N. Suntzeff (2003)
Cosmological Results from High-z SupernovaeThe Astrophysical Journal, 594
G. Birkhoff, R. Langer (1925)
Relativity And Modern Physics
D. Reddy (1973)
On Birkhoff's theorem in scalar-tensor theory of gravitationJournal of Physics A: Mathematical, Nuclear and General, 6
N. Johansen, F. Ravndal (2005)
On the discovery of Birkhoff's theoremGeneral Relativity and Gravitation, 38
T. Chiba (2003)
1/R gravity and scalar-tensor gravityPhysics Letters B, 575
J. Frieman, M. Turner, D. Huterer (2008)
Dark Energy and the Accelerating UniverseAnnual Review of Astronomy and Astrophysics, 46
R. Wagoner (1970)
Scalar-Tensor Theory and Gravitational WavesPhysical Review D, 1
L. Ford, T. Roman (2000)
Classical scalar fields and the generalized second lawPhysical Review D, 64
S. Perlmutter, G. Aldering, M. Valle, S. Deustua, R. Ellis, S. Fabbro, A. Fruchter, G. Goldhaber, A. Goobar, D. Groom, I. Hook, A. Kim, M. Kim, R. Knop, C. Lidman, R. McMahon, P. Nugent, R. Pain, N. Panagia, C. Pennypacker, P. Ruíz-Lapuente, B. Schaefer, N. Walton (1997)
Discovery of a supernova explosion at half the age of the UniverseNature, 391
M. Campanelli, C. Lousto (1993)
Are Black Holes in Brans-Dicke Theory precisely the same as in General Relativity?arXiv: General Relativity and Quantum Cosmology
E. Barausse, T. Sotiriou, J. Miller (2007)
A no-go theorem for polytropic spheres in Palatini f(R) gravityClassical and Quantum Gravity, 25
A. Riess, L. Strolger, J. Tonry, S. Casertano, H. Ferguson, B. Mobasher, P. Challis, A. Filippenko, S. Jha, Weidong Li, R. Chornock, R. Kirshner, B. Leibundgut, M. Dickinson, M. Livio, M. Giavalisco, C. Steidel, Txitxo Benítez, Z. Tsvetanov (2004)
Type Ia Supernova Discoveries at z > 1 from the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy EvolutionThe Astrophysical Journal, 607
E. Schücking (1957)
Nichtstatische kugelsymmetrische Lösungen der Vakuumfeldgleichungen in der erweiterten GravitationstheorieZeitschrift für Physik, 148
P. Bergmann (1968)
Comments on the scalar-tensor theoryInternational Journal of Theoretical Physics, 1
H. Saida, T. Harada, H. Maeda (2007)
Black hole evaporation in an expanding universeClassical and Quantum Gravity, 24
J. Bekenstein (1974)
Exact solutions of Einstein conformal scalar equationsAnnals of Physics, 82
D. robinson (2006)
Non-gravitating wavesGeneral Relativity and Gravitation, 38
R. Venkateswarlu, D. Reddy (1989)
On Birkhoff's theorem in Bergmann-Wagoner theoryAstrophysics and Space Science, 159
P. Teyssandier, P. Tourrenc (1983)
The Cauchy problem for the R+R2 theories of gravity without torsionJournal of Mathematical Physics, 24
D. Reddy (1977)
On Birkhoff's theorem for electromagnetic fields in a scalar-tensor theory of gravitationJournal of Physics A, 10
K. Nordtvedt (1968)
EQUIVALENCE PRINCIPLE FOR MASSIVE BODIES. II. THEORY.Physical Review, 169
V. Frolov, I. Novikov (1998)
Black Hole Physics
K. Krori, D. Nandy (1977)
Birkhoff's theorem and scalar-tensor theories of gravitationJournal of Physics A, 10
K. Nordtvedt (1970)
Post-Newtonian metric for a general class of scalar-tensor gravitational theories and observational consequencesThe Astrophysical Journal, 161
S. Carroll, V. Duvvuri, M. Trodden, M. Turner (2003)
Is Cosmic Speed-Up Due to New Gravitational Physics?Physical Review D, 70
T. Singh (1986)
Birkhoff‐type theorem in self‐creation cosmologyJournal of Mathematical Physics, 27
V. Faraoni, S. Nadeau (2006)
Pseudo)issue of the conformal frame revisitedPhysical Review D, 75
V. Faraoni (2009)
Analysis of the Sultana-Dyer cosmological black hole solution of the Einstein equationsPhysical Review D, 80
J. Barrow (1988)
The premature recollapse problem in closed inflationary universesNuclear Physics, 296
C. Will (1993)
Theory and Experiment in Gravitational Physics: Frontmatter
J. Jebsen (2005)
On the general spherically symmetric solutions of Einstein's gravitational equations in vacuoGeneral Relativity and Gravitation, 37
E. Flanagan (2003)
Higher-order gravity theories and scalar?tensor theoriesClassical and Quantum Gravity, 21
V. Faraoni (2009)
Clifton's spherical solution in f(R) vacuum harbours a naked singularityClassical and Quantum Gravity, 26
D. Raine (1980)
General relativityNature, 283
Nabamita Banerjee, R. Jain, Dileep Jatkar (2006)
Non-gravitating scalar field in the FRW backgroundGeneral Relativity and Gravitation, 40
R. Dicke (1962)
Mach's Principle and Invariance under Transformation of UnitsPhysical Review, 125
M. McClure, M. McClure, C. Dyer (2006)
Matching radiation-dominated and matter-dominated Einstein–de Sitter universes and an application for primordial black holes in evolving cosmological backgroundsGeneral Relativity and Gravitation, 38
A. Bhadra, K. Sarkar (2005)
On static spherically symmetric solutions of the vacuum Brans-Dicke theoryGeneral Relativity and Gravitation, 37
A. Das (1960)
Birkhoff's Theorem for Electro-magnetic Fields in General RelativityProgress of Theoretical Physics, 24
S. Capozziello, M. Francaviglia (2007)
Extended theories of gravity and their cosmological and astrophysical applicationsGeneral Relativity and Gravitation, 40
T. Sotiriou, S. Liberati (2006)
Metric-affine f(R) theories of gravityAnnals of Physics, 322
S. Hawking (1972)
Black holes in general relativityCommunications in Mathematical Physics, 25
J. Bekenstein (1975)
Nonsingular general-relativistic cosmologiesPhysical Review D, 11
(1952)
Schwerkraft und Weltall (F
G. Mcvittie (1933)
The Mass-Particle in an Expanding UniverseMonthly Notices of the Royal Astronomical Society, 93
Brian Whitt (1984)
Fourth-order gravity as general relativity plus matterPhysics Letters B, 145
Ford (1987)
Cosmological-constant damping by unstable scalar fields.Physical review. D, Particles and fields, 35 8
D. Reddy (1988)
Birkhoff's theorem in a conformally-invariant scalar field theoryAstrophysics and Space Science, 140
(1988)
Astrophys
The local nature of the Jebsen-Birkhoff theorem is emphasized in
A. Frolov (2008)
Singularity problem with f(R) models for dark energy.Physical review letters, 101 6
B. Barris, J. Tonry, S. Blondin, P. Challis, R. Chornock, A. Clocchiatti, A. Filippenko, P. Garnavich, S. Holland, S. Jha, R. Kirshner, K. Krisciunas, B. Leibundgut, Weidong Li, T. Matheson, G. Miknaitis, A. Riess, B. Schmidt, R. Smith, J. Sollerman, J. Spyromilio, C. Stubbs, N. Suntzeff, H. Aussel, K. Chambers, M. Connelley, D. Donovan, J. Henry, N. Kaiser, Michael Liu, E. Martín, R. Wainscoat (2004)
Twenty-Three High-Redshift Supernovae from the Institute for Astronomy Deep Survey: Doubling the Supernova Sample at z > 0.7The Astrophysical Journal, 602
H. Maeda, T. Harada, B. Carr (2007)
Self-similar cosmological solutions with dark energy. II. Black holes, naked singularities, and wormholesPhysical Review D, 77
S. Appleby, R. Battye (2007)
Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?Physics Letters B, 654
(2003)
and E
C. Will (1982)
Theory and Experiment in Gravitational Physics
(1979)
Indian J
S. Choudhury, D. Bhattacharya (1980)
On Birkhoff's theorem in a general class of scalar-tensor theoriesJournal of Physics A, 13
D. Wands (1993)
Extended gravity theories and the Einstein--Hilbert actionClassical and Quantum Gravity, 11
J. Ehlers, A. Krasinski (2006)
Comment on the paper by J. T. Jebsen reprinted in Gen. Rel. Grav. 37, 2253 – 2259 (2005)General Relativity and Gravitation, 38
J. Sultana, C. Dyer (2005)
Cosmological black holes: A black hole in the Einstein-de Sitter universeGeneral Relativity and Gravitation, 37
E. Ay'on-Beato, C. Mart'inez, Ricardo Troncoso, J. Zanelli (2005)
Nonminimally coupled scalar fields may not curve spacetimePhysical Review D, 71
Masato Nozawa, H. Maeda (2007)
Dynamical black holes with symmetry in Einstein–Gauss–Bonnet gravityClassical and Quantum Gravity, 25
C. Brans, R. Dicke (1961)
Mach's principle and a relativistic theory of gravitationPhysical Review, 124
V. Faraoni, Audrey Jacques (2007)
Cosmological expansion and local physicsPhysical Review D, 76
W. Hiscock (1990)
Gravitational particle creation by spherical oscillationsClassical and Quantum Gravity, 7
D. Reddy, M. Avadhanulu, R. Venkateswarlu (1987)
Birkhoff-type theorem for electromagnetic fields in self-creation cosmologyAstrophysics and Space Science, 134
T. Sotiriou (2006)
f(R) gravity and scalar–tensor theoryClassical and Quantum Gravity, 23
S. Nojiri, S. Odintsov (2008)
Future evolution and finite-time singularities in F(R) gravity unifying inflation and cosmic accelerationPhysical Review D, 78
T. Clifton (2006)
Spherically symmetric solutions to fourth-order theories of gravityClassical and Quantum Gravity, 23
J. Barrow, S. Cotsakis (1988)
Inflation and the Conformal Structure of Higher Order Gravity TheoriesPhysics Letters B, 214
D. Vollick (2003)
1 / R curvature corrections as the source of the cosmological accelerationPhysical Review D, 68
We discuss the validity, or lack thereof, of the Jebsen-Birkhoff theorem in scalar-tensor theories by generalizing it and regarding the Brans-Dicke-like scalar as effective matter. Both the Jordan and Einstein frames are discussed and an apparent contradiction between static spherical solutions of scalar-tensor gravity and Hawking’s theorem on Brans-Dicke black holes is clarified. The results are applied to metric and Palatini f ( R ) gravity.
Physical Review D – American Physical Society (APS)
Published: Feb 15, 2010
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