Marcony S Cunha
Ceará State University, Brazil
Title: About the dependence of the black-body force on space-time geometry and topology
Biography
Biography: Marcony S Cunha
Abstract
The recently discovered attractive force on neutral atoms caused by the thermal radiation emitted from black bodies is now here investigated in relativistic gravitational systems with spherical and cylindrical symmetries. The purpose of this study is to show the corrections to the potential and black-body force (BBF) due to spacetime geometry and topology. For some astrophysical objects we find that the corrected black-body potential is greater than that in flat case, showing that this kind of correction can be quite relevant when curved spaces are considered. Then we consider four cases: The Schwarzschild spacetime, the global monopole, the non-relativistic infinity cylinder and the static cosmic string. For the spherically symmetric case of a massive body, we find that two corrections appear: One due to the gravitational modification of the temperature and the other due to the modification of the solid angle subtended by the atom. We apply the found results to a typical neutron star and to the Sun. For the global monopole, the modification in the potential is due to its topological nature and central solid angle deficit that occurs in the spacetime generated by that object. In the cylindrical case, which is locally flat, no gravitational correction to the temperature exists, as in the global monopole case. However, we find the curious fact that the BBF depends on the topology of the spacetime through the modification of the azimuthal angle and therefore of the solid angle. For the static cosmic string we find that the force is null for the zero thickness case. In conclusion, we believe that massive objects which can warp the spacetime can also magnify the black-body force effect on atoms around them and that the phenomena can contribute to the understanding the formation of stars and planets and other cosmological objects.