Massive neutral particles on heterotic string theory

Abstract

The motion of massive particles in the background of a charged black hole in heterotic string theory, which is characterized by a parameter $\alpha$, 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 $\wp$-Weierstraß function. Also, by making an elementary derivation developed by Cornbleet (Am. J. Phys. \textbf{61} 7, (1993) 650 - 651) we obtain the correction to the angle of advance of perihelion to first order in $\alpha$, and thus, by comparing with Mercury's data we give an estimation for the value of this parameter, which yields an {\it heterotic solar charge} $Q_{\odot }\simeq 0.728[\text{Km}]=0.493M_{\odot }$. Therefore, in addition to the study on null geodesics performed by Fernando (Phys. Rev. D {\bf 85}, (2012) 024033), this work completes the geodesic structure for this class of space-time.

12 pages, 8 figures. Accepted for publication on EPJC

References in corpus (6)

• Conformal Weyl gravity and perihelion precession
• Motion of Test Particles around a Charged Dilatonic Black Hole
• Rindler Modified Schwarzschild Geodesics
• Geodesic Structure of Lifshitz Black Holes in 2+1 Dimensions
• About the coordinate time for photons in Lifshitz Space-times
• Orbits in the Field of a Gravitating Magnetic Monopole

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• Constraints on Scalar-Tensor Theory of Gravity by Solar System Tests
• Gravitational Rutherford scattering and Keplerian orbits for electrically charged bodies in heterotic string theory
• Motion and collision of particles near DST Black holes
• Remarks on the light ring images and the optical appearance of hairy black holes in Einstein-Maxwell-dilaton gravity
• Probing the parameters of a Schwarzschild black hole surrounded by quintessence and cloud of strings through four standard astrophysical tests