Non-vacuum static spherically symmetric solutions in Palatini f(R) gravity are examined. It is shown that for generic choices of f(R), there are commonly used equations of state for which no satisfactory physical solution of the field equations can be found within this framework, apart from in the special case of general relativity, casting doubt on whether Palatini f(R) gravity can be considered as giving viable alternatives to general relativity.
A no-go theorem for polytropic spheres in Palatini f(R) gravity / Barausse, E; Sotiriou, T. P.; Miller, John. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 25:6(2008), pp. 062001-1-062001-7. [10.1088/0264-9381/25/6/062001]
A no-go theorem for polytropic spheres in Palatini f(R) gravity
BARAUSSE E;Miller, John
2008-01-01
Abstract
Non-vacuum static spherically symmetric solutions in Palatini f(R) gravity are examined. It is shown that for generic choices of f(R), there are commonly used equations of state for which no satisfactory physical solution of the field equations can be found within this framework, apart from in the special case of general relativity, casting doubt on whether Palatini f(R) gravity can be considered as giving viable alternatives to general relativity.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
