monopoles and scalar fields as the electrogravity dual of Schwarzschild spacetime
نویسندگان
چکیده
We prove that both global monopole and minimally coupled static zero mass scalar field are electrogravity dual of the Schwarzschild solution or flat space and they share the same equation of state, T 0 0 − T i i = 0. This property was however known for the global monopole spacetime while it is for the first time being established for the scalar field. In particular, it turns out that the Xanthopoulos Zannias scalar field solution is dual to flat space.
منابع مشابه
The electrogravity transformation and global monopoles in scalar-tensor gravity
The electrogravity transformation is defined by an interchange of the “active” and “passive” electric parts of the Riemann tensor. Such a transformation has been used to find new solutions that are “dual” to the Kerr family of black hole spacetimes in general relativity. In such a case, the dual solution is a similar black hole spacetime endowed with a global monopole charge. Here, we extend th...
متن کاملSolution of Vacuum Field Equation Based on Physics Metrics in Finsler Geometry and Kretschmann Scalar
The Lemaître-Tolman-Bondi (LTB) model represents an inhomogeneous spherically symmetric universefilledwithfreelyfallingdustlikematterwithoutpressure. First,wehaveconsideredaFinslerian anstaz of (LTB) and have found a Finslerian exact solution of vacuum field equation. We have obtained the R(t,r) and S(t,r) with considering establish a new solution of Rµν = 0. Moreover, we attempttouseFinslergeo...
متن کاملرد تانسور انرژی- تکانه و پسزنی گرانشی اسکالرهای شوینگر در فضازمان دوسیته سهبعدی
In this paper, we consider a massive charged scalar field coupled to a uniform electric field background in a 3 dimensional de Sitter spacetime. We consider the value of the dimensionless coupling constant of the scalar field to the scalar curvature of a 3 dimensional de Sitter spacetime equal to 1/8. We compute the expectation value of the trace of the energy-momentum tensor in the in-vacuum s...
متن کاملOn Electrogravity Duality
By resolving the gravitational eld into electric and magnetic parts, we de ne an electrogravity duality transformation and discover an interesting property of the eld. Under the duality transformation a vacuum/ at spacetime maps into the original spacetime with a topological defect of global monopole/texture. The elctrogravity-duality is thus a topological defect generating process. It turns ou...
متن کاملRay-tracing and Interferometry in Schwarzschild Geometry
Here, we investigate the possible optical anisotropy of vacuum due to gravitational field. In doing this, we provide sufficient evidence from direct coordinate integration of the null-geodesic equations obtained from the Lagrangian method, as well as ray-tracing equations obtained from the Plebanski’s equivalent medium theory. All calculations are done for the Schwarzschild geometry, which resu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010