Noncommutative Reissner-Nordström black hole from noncommutative charged scalar field
arXiv:2404.03755 · doi:10.3390/sym17010054
Abstract
Within the framework of noncommutative (NC) deformation of gauge field theory by the angular twist, we first rederive the NC scalar and gauge field model from our previous papers and then generalize it to the second order in the Seiberg-Witten (SW) map. It turns out that SW expansion is finite and that it ceases at the second order in the deformation parameter, ultimately giving rise to the equation of motion for the scalar field in Reissner--Nordström (RN) metric that is nonperturbative and exact at the same order. As a further step, we show that the effective metric put forth and constructed in our previous work satisfies the equations of Einstein-Maxwell gravity, but only within the first order of deformation and when the gauge field is fixed by the Coulomb potential of the charged black hole. Thus obtained NC deformation of the Reissner--Nordström (RN) metric appears to have an additional off-diagonal element which scales linearly with a deformation parameter. We analyze various properties of this metric.
16 pages, improved version
References in corpus (10)
- A Gravity Theory on Noncommutative Spaces
- Noncommutative Black Hole Thermodynamics
- Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
- Non-commutative geometry inspired higher-dimensional charged, black holes
- Noncommutative Gravity
- Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity
- Deformed Reissner--Nordstrom solutions in noncommutative gravity
- Noncommutativity and logarithmic correction to the black hole entropy
- Noncommutative Gravity and the *-Lie algebra of diffeomorphisms
- Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach