Schwarzschild black hole with global monopole charge

Abstract

We derive the metric for a Schwarzschild black hole with global monopole charge by relaxing asymptotic flatness of the Schwarzschild field. We then study the effect of global monopole charge on particle orbits and the Hawking radiation. It turns out that existence, boundedness and stability of circular orbits scale up by (1 − 8πη 2 ) −1 , and the perihelion shift and the light bending by (1 − 8πη 2 ) −3/2 , while the Hawking temperature scales down by (1 − 8πη 2 ) 2 the Schwarzschild values. Here η is the global charge.

Accretion processes for general spherically symmetric compact objects

“…Dadhich et al derived the metric of a Schwarzschild black hole with global monopole charge by relaxing asymptotic flatness and investigated several astrophysical aspects [17]. However, in the presence of the cosmological constant, the metric coefficients of this geometry become modify as follows [18]:…”

Solutions for f(R) gravity coupled with electromagnetic field

“…zero external charges and zero cosmological constant) and find the energy-momentum components. This reveals that the non-zero components are T t t = T r r = − 1 2r 2 , which identifies a global monopole [7][8][9][10][11]. The solution (30) can therefore be interpreted as an Einstein-Maxwell plus a global monopole solution in f (R) gravity.…”

“…The area of a sphere of radius r (for q 2 = R 0 = 0) is not 4πr 2 but 2πr 2 . Further, it can be shown easily that the surface θ = π 2 has the geometry of a cone with a deficit angle Δ = π 2 [7][8][9][10][11]. It can also be anticipated that a global monopole modifies perihelion of circular orbits, light bending and other physical properties.…”

“…Why the square-root term in the Lagrangian? It will be shown that for R 0 = R 1 = 0 and without external sources such a choice of square-root Lagrangian gives the curvature energy-momentum tensor components as T t t = T r r , T θ θ = T ϕ ϕ = 0, which signify a global monopole [7][8][9][10][11]. A global monopole which arises from spontaneous breaking of gauge symmetry is the minimal structure that yields non-zero curvature even with zero mass.…”

Generating Spacetimes of Zero Gravitational Mass

“…Note that we could have acceleration non-zero with space part of the metric being flat. It can be shown that non-linear feature of gravitation (field being its own source) goes into curving the space part of the metric, which survives even when potential is constant but not zero [12][13][14]. This is how constant potential in GR gives rise to curved spacetime.…”