Built on

G. Cronenberg, P. Brax, H. Filter, P. Geltenbort, T. Jenke, G. Pignol, M. Pitschmann, M. Thalhammer, and H. Abele, “Acoustic Rabi oscillations between gravitational quantum states and impact on symmetron dark energy,” Nature Phys. 14
Original
1902
Earlier work this paper cites.
C. F. B. Macedo, J. Sakstein, E. Berti, L. Gualtieri, H. O. Silva, and T. P. Sotiriou, “Self-interactions and Spontaneous Black Hole Scalarization,” Phys. Rev. D 99
Original
1903
Earlier work this paper cites.
T. Baker et al., “Novel Probes Project: Tests of gravity on astrophysical scales,” Rev. Mod. Phys. 93
Original
1908
Earlier work this paper cites.
B. Elder, V. Vardanyan, Y. Akrami, P. Brax, A.-C. Davis, and R. S. Decca, “Classical symmetron force in Casimir experiments,” Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
S. Weinberg, “Photons and Gravitons in S S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,” Phys. Rev. 135
1964
Earlier work this paper cites.
S. Weinberg, “Photons and gravitons in perturbation theory: Derivation of Maxwell’s and Einstein’s equations,” Phys. Rev. 138
1965
Earlier work this paper cites.
J. K. Hoskins, R. D. Newman, R. Spero, and J. Schultz, “Experimental tests of the gravitational inverse-square law for mass separations from 2 to 105 cm,” Phys. Rev. D 32
1985
Earlier work this paper cites.
R. R. Metsaev and A. A. Tseytlin, “Order alpha-prime (Two Loop) Equivalence of the String Equations of Motion and the Sigma Model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor,” Nucl. Phys. B 293
1987
Earlier work this paper cites.
P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis, and E. Winstanley, “Dilatonic black holes in higher curvature string gravity,” Phys. Rev. D 54
1996
Earlier work this paper cites.
Supernova Search Team
1998
Earlier work this paper cites.
C. Schwob, L. Jozefowski, B. de Beauvoir, L. Hilico, F. Nez, L. Julien, F. Biraben, O. Acef, J. J. Zondy, and A. Clairon, “Optical Frequency Measurement of the S-2- D-12 Transitions in Hydrogen and Deuterium: Rydberg Constant and Lamb Shift Determinations,” Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
J. G. Lee, E. G. Adelberger, T. S. Cook, S. M. Fleischer, and B. R. Heckel, “New Test of the Gravitational 1 / r 2 1/r^{2} Law at Separations down to 52 μ \mu m,” Phys. Rev. Lett. 124
Original
2002
Earlier work this paper cites.
E. G. Adelberger, B. R. Heckel, and A. E. Nelson, “Tests of the gravitational inverse square law,” Ann. Rev. Nucl. Part. Sci. 53
2003
Earlier work this paper cites.
C. M. Will, “The Confrontation between general relativity and experiment,” Living Rev. Rel. 9
2006
Earlier work this paper cites.
T. P. Sotiriou and E. Barausse, “Post-Newtonian expansion for Gauss-Bonnet gravity,” Phys. Rev. D 75
2007
Earlier work this paper cites.
L. Amendola, C. Charmousis, and S. C. Davis, “Solar System Constraints on Gauss-Bonnet Mediated Dark Energy,” JCAP 10
Original
2007
Earlier work this paper cites.
J. M. Martín-García, “xperm: fast index canonicalization for tensor computer algebra,” Computer Physics Communications 179
2008
Earlier work this paper cites.
S. Alexander and N. Yunes, “Chern-Simons Modified General Relativity,” Phys. Rept. 480
Original
2009
Earlier work this paper cites.

Similar

D. Brizuela, J. M. Martin-Garcia, and G. A. Mena Marugan, “xPert: Computer algebra for metric perturbation theory,” Gen. Rel. Grav. 41
Original
2009
Cited alongside, same era.
J. Jaeckel and S. Roy, “Spectroscopy as a test of Coulomb’s law: A Probe of the hidden sector,” Phys. Rev. D 82
Original
2010
Cited alongside, same era.
N. Yunes and L. C. Stein, “Non-Spinning Black Holes in Alternative Theories of Gravity,” Phys. Rev. D 83
Original
2011
Cited alongside, same era.
A. Yale and T. Padmanabhan, “Structure of Lanczos-Lovelock Lagrangians in Critical Dimensions,” Gen. Rel. Grav. 43
Original
2011
Cited alongside, same era.
T. Clifton, P. G. Ferreira, A. Padilla, and C. Skordis, “Modified Gravity and Cosmology,” Phys. Rept. 513

Then

K. Koyama, “Cosmological Tests of Modified Gravity,” Rept. Prog. Phys. 79
Original
2016
Later among the works it cites.
K. Yagi, L. C. Stein, and N. Yunes, “Challenging the Presence of Scalar Charge and Dipolar Radiation in Binary Pulsars,” Phys. Rev. D 93
Original
2016
Later among the works it cites.
K. Yagi, L. C. Stein, N. Yunes, and T. Tanaka, “Post-Newtonian, Quasi-Circular Binary Inspirals in Quadratic Modified Gravity,” Phys. Rev. D 85
Original
2016
Later among the works it cites.
Y. J. Chen, W. K. Tham, D. E. Krause, D. Lopez, E. Fischbach, and R. S. Decca, “Stronger Limits on Hypothetical Yukawa Interactions in the 30–8000 nm Range,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
B. Elder, J. Khoury, P. Haslinger, M. Jaffe, H. Müller, and P. Hamilton, “Chameleon Dark Energy and Atom Interferometry,” Phys. Rev. D 94

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2022

Mapping the Weak-Field Limit of Scalar-Gauss-Bonnet Gravity

Elder, Benjamin, Sakstein, Jeremy

Understand

We derive the weak field limit of scalar-Gauss-Bonnet theory and place novel bounds on the parameter space using terrestrial and space-based experiments.

In order to analyze the theory in the context of a wide range of experiments, we compute the deviations from Einstein gravity around source masses with planar, cylindrical, and spherical symmetry.
We find a correction to the Newtonian potential around spherical and cylindrical sources that can be larger than PPN corrections sufficiently close to the source.
We use this to improve on laboratory constraints on the scalar-Gauss-Bonnet coupling parameter $\Lambda$ by two orders of magnitude.

Built on

G. Cronenberg, P. Brax, H. Filter, P. Geltenbort, T. Jenke, G. Pignol, M. Pitschmann, M. Thalhammer, and H. Abele, “Acoustic Rabi oscillations between gravitational quantum states and impact on symmetron dark energy,” Nature Phys. 14
Original
1902
Earlier work this paper cites.
C. F. B. Macedo, J. Sakstein, E. Berti, L. Gualtieri, H. O. Silva, and T. P. Sotiriou, “Self-interactions and Spontaneous Black Hole Scalarization,” Phys. Rev. D 99
Original
1903
Earlier work this paper cites.
T. Baker et al., “Novel Probes Project: Tests of gravity on astrophysical scales,” Rev. Mod. Phys. 93
Original
1908
Earlier work this paper cites.
B. Elder, V. Vardanyan, Y. Akrami, P. Brax, A.-C. Davis, and R. S. Decca, “Classical symmetron force in Casimir experiments,” Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
S. Weinberg, “Photons and Gravitons in S S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,” Phys. Rev. 135
1964
Earlier work this paper cites.
S. Weinberg, “Photons and gravitons in perturbation theory: Derivation of Maxwell’s and Einstein’s equations,” Phys. Rev. 138
1965
Earlier work this paper cites.
J. K. Hoskins, R. D. Newman, R. Spero, and J. Schultz, “Experimental tests of the gravitational inverse-square law for mass separations from 2 to 105 cm,” Phys. Rev. D 32
1985
Earlier work this paper cites.
R. R. Metsaev and A. A. Tseytlin, “Order alpha-prime (Two Loop) Equivalence of the String Equations of Motion and the Sigma Model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor,” Nucl. Phys. B 293
1987
Earlier work this paper cites.
P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis, and E. Winstanley, “Dilatonic black holes in higher curvature string gravity,” Phys. Rev. D 54
1996
Earlier work this paper cites.
Supernova Search Team
1998
Earlier work this paper cites.
C. Schwob, L. Jozefowski, B. de Beauvoir, L. Hilico, F. Nez, L. Julien, F. Biraben, O. Acef, J. J. Zondy, and A. Clairon, “Optical Frequency Measurement of the S-2- D-12 Transitions in Hydrogen and Deuterium: Rydberg Constant and Lamb Shift Determinations,” Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
J. G. Lee, E. G. Adelberger, T. S. Cook, S. M. Fleischer, and B. R. Heckel, “New Test of the Gravitational 1 / r 2 1/r^{2} Law at Separations down to 52 μ \mu m,” Phys. Rev. Lett. 124
Original
2002
Earlier work this paper cites.
E. G. Adelberger, B. R. Heckel, and A. E. Nelson, “Tests of the gravitational inverse square law,” Ann. Rev. Nucl. Part. Sci. 53
2003
Earlier work this paper cites.
C. M. Will, “The Confrontation between general relativity and experiment,” Living Rev. Rel. 9
2006
Earlier work this paper cites.
T. P. Sotiriou and E. Barausse, “Post-Newtonian expansion for Gauss-Bonnet gravity,” Phys. Rev. D 75
2007
Earlier work this paper cites.
L. Amendola, C. Charmousis, and S. C. Davis, “Solar System Constraints on Gauss-Bonnet Mediated Dark Energy,” JCAP 10
Original
2007
Earlier work this paper cites.
J. M. Martín-García, “xperm: fast index canonicalization for tensor computer algebra,” Computer Physics Communications 179
2008
Earlier work this paper cites.
S. Alexander and N. Yunes, “Chern-Simons Modified General Relativity,” Phys. Rept. 480
Original
2009
Earlier work this paper cites.

Similar

D. Brizuela, J. M. Martin-Garcia, and G. A. Mena Marugan, “xPert: Computer algebra for metric perturbation theory,” Gen. Rel. Grav. 41
Original
2009
Cited alongside, same era.
J. Jaeckel and S. Roy, “Spectroscopy as a test of Coulomb’s law: A Probe of the hidden sector,” Phys. Rev. D 82
Original
2010
Cited alongside, same era.
N. Yunes and L. C. Stein, “Non-Spinning Black Holes in Alternative Theories of Gravity,” Phys. Rev. D 83
Original
2011
Cited alongside, same era.
A. Yale and T. Padmanabhan, “Structure of Lanczos-Lovelock Lagrangians in Critical Dimensions,” Gen. Rel. Grav. 43
Original
2011
Cited alongside, same era.
T. Clifton, P. G. Ferreira, A. Padilla, and C. Skordis, “Modified Gravity and Cosmology,” Phys. Rept. 513

Then

K. Koyama, “Cosmological Tests of Modified Gravity,” Rept. Prog. Phys. 79
Original
2016
Later among the works it cites.
K. Yagi, L. C. Stein, and N. Yunes, “Challenging the Presence of Scalar Charge and Dipolar Radiation in Binary Pulsars,” Phys. Rev. D 93
Original
2016
Later among the works it cites.
K. Yagi, L. C. Stein, N. Yunes, and T. Tanaka, “Post-Newtonian, Quasi-Circular Binary Inspirals in Quadratic Modified Gravity,” Phys. Rev. D 85
Original
2016
Later among the works it cites.
Y. J. Chen, W. K. Tham, D. E. Krause, D. Lopez, E. Fischbach, and R. S. Decca, “Stronger Limits on Hypothetical Yukawa Interactions in the 30–8000 nm Range,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
B. Elder, J. Khoury, P. Haslinger, M. Jaffe, H. Müller, and P. Hamilton, “Chameleon Dark Energy and Atom Interferometry,” Phys. Rev. D 94

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2012

Cited alongside, same era.

T. A. Wagner, S. Schlamminger, J. H. Gundlach, and E. G. Adelberger, “Torsion-balance tests of the weak equivalence principle,” Class. Quant. Grav. 29

Original

2012

Cited alongside, same era.

T. W. Murphy, Jr., E. G. Adelberger, J. B. R. Battat, C. D. Hoyle, N. H. Johnson, R. J. McMillan, C. W. Stubbs, and H. E. Swanson, “APOLLO: millimeter lunar laser ranging,” Class. Quant. Grav. 29

2012

Cited alongside, same era.

K. Yagi, “A New constraint on scalar Gauss-Bonnet gravity and a possible explanation for the excess of the orbital decay rate in a low-mass X-ray binary,” Phys. Rev. D 86

Original

2012

Cited alongside, same era.

T. W. Murphy, “Lunar laser ranging: the millimeter challenge,” Rept. Prog. Phys. 76

Original

2013

Cited alongside, same era.

C. Pitrou, X. Roy, and O. Umeh, “xPand: An algorithm for perturbing homogeneous cosmologies,” Class. Quant. Grav. 30

Original