Potential–density pairs for axisymmetric galaxies: the influence of scalar fields

Rodríguez‐Meza, M. A.; Cervantes-Cota, Jorge L.; Pedraza, M.; Tlapanco, J. F.; Calleja, Eduardo

doi:10.1007/s10714-005-0067-2

Cited by 19 publications

(21 citation statements)

References 21 publications

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“…Given the equivalence between f (R) and scalar-tensor gravity, these efforts resemble previous attempts to model dark matter using scalar fields (Alcubierre et al, 2002a,b;Bernal and Guzman, 2006a,b;Bernal and Matos, 2005;Bernal and Siddhartha Guzman, 2006;Cervantes-Cota et al, 2007a,b;Matos and Guzman, 2000;Urena-Lopez, 2001, 2007;Rodriguez-Meza and Cervantes-Cota, 2004;Rodriguez-Meza et al, 2005.…”

Section: A Metric F (R) Gravity As Dark Mattermentioning

confidence: 86%

Metric-affine f(R) theories of gravity

2007

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Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology and astrophysics. Among numerous alternatives to Einstein's theory of gravity, theories which include higher order curvature invariants, and specifically the particular class of f (R) theories, have a long history. In the last five years there has been a new stimulus for their study, leading to a number of interesting results. We review here f (R) theories of gravity in an attempt to comprehensively present their most important aspects and cover the largest possible portion of the relevant literature. All known formalisms are presentedmetric, Palatini and metric-affine -and the following topics are discussed: motivation; actions, field equations and theoretical aspects; equivalence with other theories; cosmological aspects and constraints; viability criteria; astrophysical applications.

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Section: A Metric F (R) Gravity As Dark Mattermentioning

confidence: 86%

Metric-affine f(R) theories of gravity

2007

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“…These theories are based on different hypothesis (e.g., scalar-tensor theories of gravity, massive gravitons, etc.) and they do not have in the weak field limit the Newtonian gravitational potential (see, e.g., [2][3][4][5][6][7][8][9][10]). …”

Section: Introductionmentioning

confidence: 99%

Probing Yukawian gravitational potential by numerical simulations. II. Elliptical galaxies

Brandao

Araújo

2009

Gen Relativ Gravit

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Since the Newtonian gravitation is largely used to model with success the structures of the universe, such as galaxies and clusters of galaxies, for example, a way to probe and constrain alternative theories, in the weak field limit, is to apply them to model the structures of the universe. We then modified the well known Gadget-2 code to probe alternative theories of gravitation through galactic dynamics. In particular, we modified the Gadget-2 code to probe alternatives theories whose weak field limits have a Yukawa-like gravitational potential. As a first application of this modified Gadget-2 code we simulate the evolution of elliptical galaxies. These simulations show that galactic dynamics can be used to constrain the parameters associated with alternative theories of gravitation.

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“…9 and 10 can be found in terms of the corresponding Green functions, and the new Newtonian potential is (Rodríguez-Meza and Cervantes-Cota 2004;Rodríguez-Meza et al 2005) The next step is to find solutions for this new Newtonian potential given a density profile, that is, to find the so-called potential-density pairs.…”

Section: Newtonian Limit Of a Sttmentioning

confidence: 99%