Gravitational effects of light scalar particles

Helbig, T.

doi:10.1086/170710

Cited by 46 publications

(30 citation statements)

References 9 publications

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“…This can also be seen by deriving the relation between the metric perturbations (13) and the tetrad perturbations (36). Expanding the relation (35) in velocity orders in a given gauge yields…”

Section: A Perturbative Expansionmentioning

confidence: 95%

Gauge-invariant approach to the parametrized post-Newtonian formalism

Hohmann

2020

Phys. Rev. D

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We present an approach to the parametrized post-Newtonian (PPN) formalism which is based on gauge-invariant higher order perturbation theory. This approach divides the components of the metric perturbations into gauge-invariant quantities, which carry information about the physical system under consideration, and pure gauge quantities, which describe the choice of the coordinate system. This separation generally leads to a simplification of the PPN procedure, since only the gauge-invariant quantities appear in the field equations and must be determined by solving them. Another simplification arises from the fact that the gauge-invariant approach supersedes the necessity to first choose a gauge for solving the gravitational field equations and later transforming the obtained solution into the standard PPN gauge, as it is conventionally done in the PPN formalism, whose standard PPN gauge is determined only after the full solution is known. In addition to the usual metric formulation, we also present a tetrad formulation of the gauge-invariant PPN formalism. To illustrate their practical application, we demonstrate the calculation of the PPN parameters of a well-known scalar-tensor class of theories.

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Section: A Perturbative Expansionmentioning

confidence: 95%

Gauge-invariant approach to the parametrized post-Newtonian formalism

Hohmann

2020

Phys. Rev. D

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“…This implies, for the period of interest, a long-term annual average of 15.3 cases per season. No landfalls occurred in 1980, 1991, but all years had TCs approaching within 300 km and some passed within 50 km. Minimum activity occurred in 1977 and 1996 (eight cases, each), compared with 24 in 1992.…”

Section: Methodsmentioning

confidence: 99%

“…Then, Newtonian approximation gives (Pimentel and Obregón 1986;Salgado 2002;Helbig 1991; Rodríguez-Meza and Cervantes-Cota 2004) Then, Newtonian approximation gives (Pimentel and Obregón 1986;Salgado 2002;Helbig 1991; Rodríguez-Meza and Cervantes-Cota 2004)…”

Section: Newtonian Limit Of a Sttmentioning

confidence: 99%

Experimental and Theoretical Advances in Fluid Dynamics

Klapp¹,

Cros²,

Fuentes³

et al. 2012

Environmental Science and Engineering

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“…For point particles the solution is well known, see for instance [22,50], and with the choice of the abovementioned background field, one has:…”

Section: The Newtonian Approximation Of Sttmentioning

confidence: 99%

Spherical scalar-tensor galaxy model

2009

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We build a spherical halo model for galaxies using a general scalar-tensor theory of gravity in its Newtonian limit. The scalar field is described by a time-independent Klein-Gordon equation with a source that is coupled to the standard Poisson equation of Newtonian gravity. Our model, by construction, fits both the observed rotation velocities of stars in spirals and a typical luminosity profile. As a result, the form of the new Newtonian potential, the scalar field, and dark matter distribution in a galaxy are determined. Taking into account the constraints for the fundamental parameters of the theory (λ, α), we analyze the influence of the scalar field in the dark matter distribution, resulting in shallow density profiles in galactic centers.

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Gravitational effects of light scalar particles

Cited by 46 publications

References 9 publications

Gauge-invariant approach to the parametrized post-Newtonian formalism

Gauge-invariant approach to the parametrized post-Newtonian formalism

Experimental and Theoretical Advances in Fluid Dynamics

Spherical scalar-tensor galaxy model

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