Constraining models of extended gravity using Gravity Probe B and LARES experiments

Capozziello, Salvatore; Lambiase, Gaetano; Sakellariadou, Mairi; Stabile, A.; Stabile, An.

doi:10.1103/physrevd.91.044012

Cited by 76 publications

(79 citation statements)

References 76 publications

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“…Examples include ChernsSimons gravity [45,46], conformal gravity [47], pseudo-complex GR [48], the TensorVector-Scalar theory (TeVeS) that developed as a relativistic generalization of Modified Newtonian Dynamics or MOND [49], noncommutative spectral geometry [50], HoravaLifshitz gravity [51], and Extended Gravity, in which the action is allowed to depend on a general function of the Ricci scalar [52].…”

Section: The Standard Modelmentioning

confidence: 99%

Spacetime, spin and Gravity Probe B

Overduin

2015

Class. Quantum Grav.

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Abstract. It is more important than ever to push experimental tests of gravitational theory to the limits of existing technology in both range and sensitivity. This brief review focuses on spin-based tests of General Relativity and their implications for alternative, mostly non-metric theories of gravity motivated by the challenge of unification with the Standard Model of particle physics. The successful detection of geodetic precession and frame-dragging by Gravity Probe B places new constraints on a number of these theories, and increases our confidence in the theoretical mechanisms underpinning current ideas in astrophysics and cosmology.

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Section: The Standard Modelmentioning

confidence: 99%

Spacetime, spin and Gravity Probe B

Overduin

2015

Class. Quantum Grav.

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“…These corrections to the gravitational Lagrangian were already considered by several authors [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]). From a conceptual viewpoint, there is no reason a priori to restrict the gravitational Lagrangian to a linear function of the Ricci scalar minimally coupled to matter [38].…”

Section: Introductionmentioning

confidence: 99%

Casimir effect in extended theories of gravity

Lambiase

Stabile

2017

Phys. Rev. D

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We study the Casimir vacuum energy density and the Casimir pressure for a massless scalar field confined between two nearby parallel plates in a slightly curved, static spacetime background, employing the weak field approximation in the framework of Extended Theories of Gravity (ETG). Following a perturbative approach upto second order, we find the gravity correction in the ETG to Casimir vacuum energy density and pressure. The corrections to the vacuum energy density in presence of curved spacetime in the framework of General Relativity (GR) are small and today they are still undetected with the current technology. However, future sensitivity improvement in gravitational interferometer experiments will give an useful tool to detect such effect induced by gravity. For these reason we retain interesting from a theoretical point of view generalize the outcomes of GR in the context of ETG. Finally, we find the general relation to constraining the free parameters of the ETG.

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“…2 The subscript Λ to the spectral action is needed to differentiate it from the ζ spectral action which we introduce below and indicate as S ζ . 3 The momentum of the cutoff function associated with the gauge couplings at unification has been constrained by astrophysical data [15][16][17][18]. 4 The action contains terms depending on all fermion's Yukawa couplings, which, however, can be ignored given the top predominance.…”

Section: Cutoff Bosonic Spectral Actionmentioning

confidence: 99%

Spectral action with zeta function regularization

et al. 2015

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In this paper we propose a novel definition of the bosonic spectral action using zeta function regularization, in order to address the issues of renormalizability and spectral dimensions. We compare the zeta spectral action with the usual (cutoff-based) spectral action and discuss its origin and predictive power, stressing the importance of the issue of the three dimensionful fundamental constants, namely the cosmological constant, the Higgs vacuum expectation value, and the gravitational constant. We emphasize the fundamental role of the neutrino Majorana mass term for the structure of the bosonic action.

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Constraining models of extended gravity using Gravity Probe B and LARES experiments

Cited by 76 publications

References 76 publications

Spacetime, spin and Gravity Probe B

Spacetime, spin and Gravity Probe B

Casimir effect in extended theories of gravity

Spectral action with zeta function regularization

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