Exact charged black hole solutions in D-dimensions in f(R) gravity

Abstract

We consider Maxwell-f(R) gravity and obtain an exact charged black hole solution with dynamic curvature in D-dimensions. Considering a spherically symmetric metric ansatz and without specifying the form of f(R) we find a general black hole solution in D-dimensions. This general black hole solution can reduce to the Reissner–Nordström (RN) black hole in D-dimensions in Einstein gravity and to the known charged black hole solutions with constant curvature in f(R) gravity. Restricting the parameters of the general solution we get polynomial solutions which reveal novel properties when compared to RN black holes. Specifically we study the solution in $$(3+1)$$ ( 3 + 1 ) -dimensions in which the form of f(R) can be solved explicitly giving a dynamic curvature and compare it with the RN black hole. We also carry out a detailed study of its thermodynamics.

[68Ga]Ga-HBED-CC-FAPI Derivatives with Improved Radiolabeling and Specific Tumor Uptake

“…Similar observations are reported in published papers. 37 It is likely that due to different in vivo pharmacokinetic properties, [ 68 Ga]Ga-HBED-CC derivatives ([ 68 Ga]Ga-4, [ 68 Ga]Ga-5, and [ 68 Ga]Ga-6) showed a slower washout than [ 68 Ga]Ga-DOTA-FAPI-04. Particularly, they showed an increase in the background activity and gallbladder accumulation (Figure 5 and Tables S3 and S6).…”

Charged compact objects by e–MGD approach

“…In this way, the problem has been closed only by using the fields equations and not by assuming any form of the deformation functions h(r) and f (r). The final toy model is being characterized by the metric potentials (60)-( 61) and the thermodynamic variables (62)- (66). As can be appreciated in figures 2-3, all the thermodynamic quantities are correctly satisfying the physical requirements for an anisotropic matter distribution ı.e., the density (Figure 2) and radial and tangential pressures (figure 3: left and middle panels respectively) are positive defined and monotone decreasing functions with increasing radial coordinate r. Therefore, all these parameters attain their maximum values at the center r = 0 of the structure.…”

“…Nevertheless, this conclusion is obtained after a careful analysis of the integration constants. A similar analysis was carried out in [65,66] for a D-dimensional f (R) gravity. So, in the present case for T μν = 0 it clear that f (T) = 0, however, if the f (R) part has a more complex form other than the simple Einstein-Hilbert Lagrangian, one can not assert that the outer space-time are corresponding to the usual ones given in the context of GR.…”

Black Holes with Electric and Magnetic Charges in F(R)$F(R)$ Gravity

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