| dc.description.abstract | In the present thesis, we investigate the scale–dependence of some well known black hole
solutions in 2+1 dimensions at the level of the effective action in the presence of a cosmological constant or an electrical source. We promote the classical parameters of the theory,
{G0,(· · ·)0}, to scale–dependent couplings, {Gk,(· · ·)k} and then we solve the corresponding
effective Einstein field equations. To close the system of equations we impose the null energy
condition. This last condition (valid in arbitrary dimension) provides a differential equation
which, after solving it, allows to obtain in a simple way the specific form of the gravitational
coupling. Furthermore, perfect-fluid like parameters are induced via the scale-dependent
gravitational coupling. Finally, to exemplify the effect of the running of the couplings on the
properties of the scale-dependent black hole solutions, we show a few concrete examples.In the present thesis, we investigate the scale–dependence of some well known black hole
solutions in 2+1 dimensions at the level of the effective action in the presence of a cosmological constant or an electrical source. We promote the classical parameters of the theory,
{G0,(· · ·)0}, to scale–dependent couplings, {Gk,(· · ·)k} and then we solve the corresponding
effective Einstein field equations. To close the system of equations we impose the null energy
condition. This last condition (valid in arbitrary dimension) provides a differential equation
which, after solving it, allows to obtain in a simple way the specific form of the gravitational
coupling. Furthermore, perfect-fluid like parameters are induced via the scale-dependent
gravitational coupling. Finally, to exemplify the effect of the running of the couplings on the
properties of the scale-dependent black hole solutions, we show a few concrete examples.In the present thesis, we investigate the scale–dependence of some well known black hole
solutions in 2+1 dimensions at the level of the effective action in the presence of a cosmological constant or an electrical source. We promote the classical parameters of the theory,
{G0,(· · ·)0}, to scale–dependent couplings, {Gk,(· · ·)k} and then we solve the corresponding
effective Einstein field equations. To close the system of equations we impose the null energy
condition. This last condition (valid in arbitrary dimension) provides a differential equation
which, after solving it, allows to obtain in a simple way the specific form of the gravitational
coupling. Furthermore, perfect-fluid like parameters are induced via the scale-dependent
gravitational coupling. Finally, to exemplify the effect of the running of the couplings on the
properties of the scale-dependent black hole solutions, we show a few concrete examples.In the present thesis, we investigate the scale–dependence of some well known black hole
solutions in 2+1 dimensions at the level of the effective action in the presence of a cosmological constant or an electrical source. We promote the classical parameters of the theory,
{G0,(· · ·)0}, to scale–dependent couplings, {Gk,(· · ·)k} and then we solve the corresponding
effective Einstein field equations. To close the system of equations we impose the null energy
condition. This last condition (valid in arbitrary dimension) provides a differential equation
which, after solving it, allows to obtain in a simple way the specific form of the gravitational
coupling. Furthermore, perfect-fluid like parameters are induced via the scale-dependent
gravitational coupling. Finally, to exemplify the effect of the running of the couplings on the
properties of the scale-dependent black hole solutions, we show a few concrete examples. | |
