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Testing scalar-tensor theories and parametrized post-Newtonian parameters in Earth orbit

Schärer, A., Angélil, R., Bondarescu, R., Jetzer, P., & Lundgren, A. (2014). Testing scalar-tensor theories and parametrized post-Newtonian parameters in Earth orbit. Physical Review D, 90: 123005. doi:10.1103/PhysRevD.90.123005.

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Genre: Journal Article

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Creators:
Schärer, Andreas, Author
Angélil, Raymond, Author
Bondarescu, Ruxandra, Author
Jetzer, Philippe, Author
Lundgren, Andrew1, Author
Affiliations:
1Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24011

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, Earth and Planetary Astrophysics, astro-ph.EP
Abstract: We compute the PPN parameters $\gamma$ and $\beta$ for general scalar-tensor theories in the Einstein frame, which we compare to the existing PPN formulation in the Jordan frame for alternative theories of gravity. This computation is important for scalar-tensor theories that are expressed in the Einstein frame, such as chameleon and symmetron theories, which can incorporate hiding mechanisms that predict environment-dependent PPN parameters. We introduce a general formalism for scalar-tensor theories and constrain it using the limit on $\gamma$ given by the Cassini experiment. In particular we discuss massive Brans-Dicke scalar fields for extended sources. Next, using a recently proposed Earth satellite experiment, in which atomic clocks are used for spacecraft tracking, we compute the observable perturbations in the redshift induced by PPN parameters deviating from their general relativistic values. Our estimates suggest that $|\gamma - 1| \sim |\beta -1| \sim 10^{-6}$ may be detectable by a satellite that carries a clock with fractional frequency uncertainty $\Delta f/f \sim 10^{-16}$ in an eccentric orbit around the Earth. Such space experiments are within reach of existing atomic clock technology. We discuss further the requirements necessary for such a mission to detect deviations from Einstein relativity.

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Dates: 2014-10-292014
Publication Status: Published in print
Pages: 17 pages, 6 figures, accepted for publication in Phys. Rev. D
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1410.7914
DOI: 10.1103/PhysRevD.90.123005
URI: http://arxiv.org/abs/1410.7914
Degree: -

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### Source 1

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Title: Physical Review D
Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 90 Sequence Number: 123005 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258