Searcharxiv⌕ Search

arXiv subjects

Seçil Şentorun

Publications and source records attributed to Seçil Şentorun.

5 recordsLinked to original sources

Bianchi-Type Black Holes in Higher-Dimensional $R^2$ Gravity

In this study, we investigate higher-dimensional static and stationary Bianchi-type solutions in an $R^2$ gravity theory using the formalism of exterior differential forms. We construct a broad class of exact higher-dimensional Bianchi-type solutions in an $R^{2}$-corrected gravity theory. It is shown that the theory admits hyperscaling violating black hole solutions associated with homogeneous but anisotropic horizon geometries, encompassing both static and stationary configurations. We further analyze some thermodynamic properties of these backgrounds and demonstrate that higher-curvature corrections give rise to unconventional features. In particular, we show that within the critical sector, the solutions possess a finite Hawking temperature despite an identically vanishing Wald entropy, signaling an unusual thermodynamic regime. These configurations arise at the critical point of the theory, where the effective gravitational coupling vanishes and the space of admissible constant-curvature geometries is enlarged.

gr-qc↗

Revisiting Lifshitz-type solutions in $R^2$-corrected gravity

In this study, we construct exact higher-dimensional Lifshitz-type solutions in $R^2$-corrected gravity at the critical point of the theory, where the field equations become degenerate because of the vanishing of the effective gravitational coupling. The analysis is performed on product manifolds of the form $Li_{m}\times Ω_{(n-m)}$, where $Li_{m}$ denotes an $m$-dimensional Lifshitz-type spacetime exhibiting anisotropic scaling with dynamical exponent $z$ and $Ω_{(n-m)}$ represents an $(n-m)$-dimensional space of constant curvature. This geometric decomposition allows for a unified treatment of static, stationary (rotating), and hyperscaling-violating configurations within a purely gravitational framework. We show that the theory admits new broad families of exact Lifshitz black hole and black brane solutions, including extremal configurations, whose scaling exponents and horizon structures are constrained by higher-curvature terms. The stationary solutions are interpreted as rotating Lifshitz-type black holes with well-defined Killing horizons within the appropriate parameter ranges. Owing to the critical nature of the theory, these solutions exhibit vanishing entropy and zero conserved charges despite having non-zero temperature, reflecting the degenerate structure of the field equations. Our results extend the previously known Lifshitz constructions in Einstein and higher-derivative gravity and provide a systematic higher-dimensional framework for exploring anisotropic and hyperscaling-violating geometries supported by curvature-squared interactions.

hep-th↗

A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory

In this work, we examine a family of $pp$-wave solutions of Minimal Massive 3d Gravity (MMG) minimally coupled with the Maxwell-Chern-Simons theory. An elaborate investigation of the field equations shows that the theory admits $pp$-wave solutions provided that there exist an anti-self duality relation between the electric and the magnetic components of the Maxwell 2-form field. By employing Noether-Wald formalism, we also construct Noether charges of the theory within exterior algebra formalism.

hep-th↗

The equatorial motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime

In this work, we perform a detailed analysis of the equatorial motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime. By working out the orbit equation in the radial direction, we examine possible orbit types. We investigate the conditions for existence of bound orbits in causality-preserving region as well as the conditions for existence of circular orbits for charged and uncharged particles. We also study the effect of NUT parameter on Newtonian orbits. Finally, we give exact analytical solutions of equations of equatorial motion for a charged test particle.

gr-qc↗

Motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime and analytical solutions

In this work, we study the motion of charged test particles in Kerr-Newman-Taub-NUT spacetime. We analyze the angular and the radial parts of the orbit equations and examine the possible orbit types. We also investigate the spherical orbits and their stabilities. Furthermore, we obtain the analytical solutions of the equations of motion and express them in terms of Jacobian and Weierstrass elliptic functions. Finally, we discuss the observables of the bound motion and calculate the perihelion shift and Lense-Thirring effect for three dimensional bound orbits.

gr-qc↗