Eur. Phys. J. C (2013) 73: 2659
https://doi.org/10.1140/epjc/s10052-013-2659-4

Regular Article - Theoretical Physics

Massive neutral particles on heterotic string theory

¹ Instituto de Física, Pontificia Universidad de Católica de Valparaíso, Av. Universidad 330, Curauma, Valparaíso, Chile
² Departamento de Física y Astronomía, Universidad de Valparaíso, Gran Bretaña 1111, Playa Ancha, Valparaíso, Chile
³ Centro de Astrofísica de Valparaíso, Gran Bretaña 1111, Playa Ancha, Valparaíso, Chile

^* e-mail: jose.villanuevalob@uv.cl

Received: 6 November 2013
Published online: 28 November 2013

Abstract

The motion of massive particles in the background of a charged black hole in heterotic string theory, which is characterized by a parameter α, is studied in detail in this paper. Since it is possible to write this space-time in the Einstein frame, we perform a quantitative analysis of the time-like geodesics by means of the standard Lagrange procedure. Thus, we obtain and solve a set of differential equations and then we describe the orbits in terms of the elliptic ℘-Weierstraß function. Also, by making an elementary derivation developed by Cornbleet (Am. J. Phys. 61(7):650–651, 1993) we obtain the correction to the angle of advance of perihelion to first order in α, and thus, by comparing with Mercury’s data we give an estimation for the value of this parameter, which yields an heterotic solar charge Q _⊙≃0.728 [Km]=0.493 M _⊙. Therefore, in addition to the study on null geodesics performed by Fernando (Phys. Rev. D 85:024033, 2012), this work completes the geodesic structure for this class of space-time.