Isochrone spacetimes

نویسندگان

چکیده

We introduce the relativistic version of well-known Henon's isochrone spherical models: static spherically symmetrical spacetimes in which all bounded trajectories are sense, i.e., their radial periods do not depend on angular momenta. Analogously to Newtonian case, these "isochrone spacetimes" have as particular cases so-called Bertrand spacetimes, periodic. propose a procedure generate by means an algebraic equation, present explicitly several families and discuss briefly main properties. identify, particular, family whose limit corresponds potentials that could be considered extension original proposal for study globular clusters. Nevertheless, generically violate weak energy condition may exhibit naked singularities, challenging physical interpretation context General Relativity.

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ژورنال

عنوان ژورنال: General Relativity and Gravitation

سال: 2022

ISSN: ['0001-7701', '1572-9532']

DOI: https://doi.org/10.1007/s10714-022-02957-w