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Marek Rogatko

Publications and source records attributed to Marek Rogatko.

At least 91 records · Page 5Linked to original sources
arXiv2006

First Law of Black Rings Thermodynamics in Higher Dimensional Chern-Simons Gravity

The physical process version and the equilibrium state version of the first law of black ring thermodynamics in n-dimensional Einstein gravity with Chern-Simons term were derived. This theory constitutes the simplest generalization of the five-dimensional one admitting a stationary black ring solutions. The equilibrium state version of the first law of black ring mechanics was achieved by choosing any cross section of the event horizon to the future of the bifurcation surface.

hep-th↗
arXiv2006

Classification of Static Charged Black Holes in Higher Dimensions

The uniqueness theorem for static charged higher dimensional black hole containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non-degenerate components of event horizon is proposed. By studies of the near-horizon geometry of degenerate horizons one was able to eliminate the previous restriction concerning the inequality fulfilled by the charges of the adequate components of the aforementioned horizons.

hep-th↗
arXiv2005

Black Rings and the Physical Process Version of the First Law of Thermodynamics

We consider the problem of physical process version of the first law of black ring thermodynamics in n-dimensional Einstein gravity with additional (p+1)-form field strength and dilaton fields. The first order variations of mass, angular momentum and local charge for black ring was derived. By means of them we prove the physical process version of the first law of thermodynamics for stationary black rings.

hep-th↗
arXiv2005

Physical Process Version of the First Law of Thermodynamics for Black Holes in Higher Dimensional Gravity

The problem of physical process version of the first law of black hole thermodynamics for charged rotating black hole in n-dimensional gravity is elaborated. The formulae for the first order variations of mass, angular momentum and canonical energy in Einstein (n-2)-gauge form field theory are derived. These variations are expressed by means of the perturbed matter energy momentum tensor and matter current density.

hep-th↗
arXiv2005

Staticity Theorem for Higher Dimensional Generalized Einstein-Maxwell System

We derive formulas for variations of mass, angular momentum and canonical energy in Einstein (n-2)-gauge form field theory by means of the ADM formalism. Considering the initial data for the manifold with an interior boundary which has the topology of (n-2)-sphere we obtained the generalized first law of black hole thermodynamics. Supposing that a black hole evevt horizon comprisesw a bifurcation Killing horizon with a bifurcate surface we find that the solution is static in the exterior world, when the Killing timelike vector field is normal to the horizon and has vanishing electric or magnetic fields on static slices.

hep-th↗
arXiv2003

Cosmological Black Holes on Branes

We examined analytically a cosmological black hole domain wall system. Using the C-metric construction we derived the metric for the spacetime describing an infinitely thin domain wall intersecting a cosmological black hole. We studied the behaviour of the scalar field describing a self-interacting cosmological domain wall and find the approximated solution valid for large distances. The thin wall approximation and the back raection problem were elaborated finding that the topological kink solution smoothed out singular behaviour of the zero thickness wall using a core topological and hence thick domain wall. We also analyze the nucleation of cosmological black holes on and in the presence of a domain walls and conclude that the domain wall will nucleate small black holes on it rather than large ones inside.

hep-th↗
arXiv2002

Positivity of Energy in Einstein-Maxwell Axion-dilaton gravity

Avoiding the problem of the existence of asymptotically constant spinors satysfying certain differential equations on a non-compact hypersrface we presented the proof of positivity of the ADM and Bondi energy in Einstein-Maxwell axion-dilaton gravity. In our attitude spinor fields defining the enwergy need only be defined near infinity and there satysfying propagation equations.

hep-th↗
arXiv2002

Physical process version of the first law of thermodynamics for black holes in Einstein-Maxwell axion-dilaton gravity

We derive general formulae for the first order variation of the ADM mass, angular momentum for linear perturbations of a stationary background in Einstein-Maxwell axion-dilaton gravity being the low-energy limit of the heterotic string theory. All these variations were expressed in terms of the perturbed matter energy momentum tensor and the perturbed charge current density. Combining these expressions we reached to the form of the {\it physical version} of the first law of black hole dynamics for the stationary black holes in the considered theory being the strong support for the cosmic censorship.

hep-th↗
arXiv2001

Dilaton Black Holes on Thick Branes

We study a black hole domain wall system in dilatonic gravity being the low-energy limit of the string theory. Using the C-metric construction we derive the metric for an infinitisemally thin domain wall intersecting dilaton black hole. The behavior of the domain wall in the spacetime of dilaton black hole was analyzed and it was revealed that the extereme dilaton black hole always expelled the domain wall. We elaborated the back reaction problem and concluded that topological kink solution smoothes out singularity of the considered topological defect. Finally we gave some comments concerning nucleation of dilaton black holes in the presence of the domain wall. We found that domain walls would rather prefer to nucleate small black holes on them, than large ones inside them.

hep-th↗
arXiv2001

Late-time Evolution of a Charged Massless Scalar Field in the Spacetime of a Dilaton Black Hole

We investigate the power-law tails in the evolution of a charged massless scalar field around a fixed background of a dilaton black hole. Using both analytical and numerical methods we find the inverse power-law relaxation of charged fields at future timelike infinity, future null infinity, and along the outer horizon of the considered black hole. We invisage that a charged hair decays slower than neutral ones. The oscillatory inverse power law along the outer horizon of the dilaton black hole is of a great importance for a mass inflation scenario along the Cauchy horizon of a dynamically formed dilaton black hole.

hep-th↗
arXiv2000

Positivity of the Bondi Energy in Einstein-Maxwell Axion- Dilaton Gravity

We present a proof of the positivity of the Bondi energy in Einstein-Maxwell axion-dilaton gravity, being the low-energy limit of the heterotic string theory. We consider the spacelike hypersurface which asymptotically approaches a null cone and on which the equations of the theory under consideration are given. Next, we generalize the proof allowing the hypersurface having inner boundaries.

hep-th↗