Extra force in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>modified theories of gravity
Orfeu BertolamiInstituto Superior Técnico, Departamento de Física and Centro de Física dos Plasmas, Av. Rovisco Pais 1, 1049-001 Lisboa, PortugalChristian G. BöhmerInstituto Superior Técnico, Departamento de Física and Centro de Física dos Plasmas, Av. Rovisco Pais 1, 1049-001 Lisboa, PortugalTiberiu HarkoInstituto Superior Técnico, Departamento de Física and Centro de Física dos Plasmas, Av. Rovisco Pais 1, 1049-001 Lisboa, PortugalFrancisco S. N. LoboInstituto Superior Técnico, Departamento de Física and Centro de Física dos Plasmas, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal
2007lv
ABI
Аннотация
The equation of motion for massive particles in $f(R)$ modified theories of gravity is derived. By considering an explicit coupling between an arbitrary function of the scalar curvature, $R$, and the Lagrangian density of matter, it is shown that an extra force arises. This extra force is orthogonal to the four-velocity and the corresponding acceleration law is obtained in the weak-field limit. Connections with MOND and with the Pioneer anomaly are further discussed.
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