Eur. Phys. J. C (2012) 72: 2247
https://doi.org/10.1140/epjc/s10052-012-2247-z

Letter

Curvature oscillations in modified gravity and high energy cosmic rays

¹ Novosibirsk State University, Novosibirsk, 630090, Russia
² Department of Higher Mathematics, University “Dubna”, 141980, Dubna, Russia
³ ITEP, Bol. Cheremushkinsaya ul., 25, 113259, Moscow, Russia
⁴ Dipartimento di Fisica, Università degli Studi di Ferrara, Polo Scientifico e Tecnologico—Edificio C, via Saragat 1, 44122, Ferrara, Italy
⁵ Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara, Polo Scientifico e Tecnologico—Edificio C, via Saragat 1, 44122, Ferrara, Italy

^* e-mail: dolgov@fe.infn.it

Received: 9 November 2012
Published online: 4 December 2012

Abstract

It is shown that F(R)-modified gravitational theories lead to curvature oscillations in astrophysical systems with rising energy density. The frequency and the amplitude of such oscillations could be very high and would lead to noticeable production of energetic cosmic ray particles.