Acceleration Effect In The Gravitational Field Of Black Hole Involving A Global Monopole

The gravitational effect is a very important research in astrophysics and the-oretical physics.The theoretical research on various types of gravitational effects has important practical significance to the interpretation of the astronomical phe-nomenon.According to Einstein’s gravitational field equation,we can draw many inferences that are not in the Newtonian theory of gravitation, some of which can more or less been given a physical interpretation,these inferences will be known as the gravitational effect.In Newtonian mechanics, the link between the acceleration and the test particle in the gravitational field is determined by the equation of motion, the effect of the gravitational field to objects always manifested as attractive without repulsion.In general relativity, not only the equations of motion complicated, but also their in-terpretation. Test particle in the gravitational field is equivalent to the free particle doing inertial motion in curved spacetime along geodesic [1],does not involve the concept of acceleration and force.Using the local Lorentz cross-section to study the movement of objects,then back to the acceleration and force concept.Some literature usually given a first order approximation of the acceleration expression,this paper presents the analytical expression of acceleration in general relativity.For the derivation of general relativity acceleration, this article uses the basic concepts and expressions of intrinsic coordinates, velocity and acceleration given by Landau and Lifshitz [2].Although the local Lorentz cross-section is selected, return to the concept of acceleration and force, but because of all the derivation of the formula containing the point of the metric tensor, so the results were taken into account the existence of the gravitational field, or meanings in curved spacetime.So all results belong to general relativity,difference in Newtonian mechanics.The acceleration effect in the gravitational field (including the repulsion effect) belongs to a kind of gravitational effect of general relativity.Many articles at home and abroad discussed a variety of gravitational effects in general relativity [3].Pa-per [4]、[5]discusses the negative acceleration effects in Reissner-Nordstrom gravi-tational field.and get the critical surface is rc=e2/2m when the acceleration change the sign.The paper also discussed in the gravitational field of Kerr-Newman-Kasuga repulsion effect, the critical surface is rc=(e2+q2)/2m when attractive to repul-sion.This article discusses the acceleration effect of a class of black hole with global monopole.The phase transition of the early universe may lead to topological defects.Type of topological defects depends on the topology of the vacuum popular μ.Barriola and Vilenkin get an approximate solution of the Einstein equation [6].The solution describes a black hole with global monopole.This black hole formate in the early universe by a Schwarzchild black hole swallow up a monopole.In addition, Mukunda and Vilenkin get the vacuum solution containing cosmic strings [7],the time and space has the topology of a cone.For such black hole’s gravitational effects many articles at home and abroad have discussed [8].This paper mainly discusses the acceleration effect in the class of black holes with global monopole.