output
20142026
most citedIs there a novel Einstein-Gauss-Bonnet theory in four dimensions?

228 citations

45 papers

gr-qc2026

Almost Universal Metrics

Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin

A metric is called universal if every symmetric conserved rank-two tensor constructed locally from the metric, the curvature, and covariant derivatives of the curvature is proporti…

hep-th2025

Weyl double copy in Lifshitz spacetimes

Gokhan Alkac, Mehmet Kemal Gumus, Mehmet Ali Olpak

Lifshitz black hole solutions pose particular challenges for reconciling the two main formulations of the classical double copy: the Kerr-Schild double copy and the Weyl double cop…

gr-qc2025

Generalized Vaidya Spacetime in Cotton and Conformal Killing Theories

Metin Gürses, Yaghoub Heydarzade, Çetin Şentürk

We demonstrate that the non-vacuum field equations of Cotton gravity and Conformal Killing gravity admit a generalized class of Vaidya-type solutions. In particular, beyond the sta…

hep-th2025★ 1 cited

Algebra structure of conformal Killing-Yano forms in geometries with skew-symmetric torsion

Ümit Ertem, Özgür Kelekçi, Özgür Açık

We consider conformal Killing-Yano forms corresponding to the antisymmetric generalizations of conformal Killing vectors to higher degree forms in the presence of skew-symmetric to…

math.GM2025

Some results on generalized Hukuhara diamond-α derivative and integral of fuzzy valued functions and on time scales

Selami Bayeğ, Funda Raziye Mert, Billur Kaymakçalan

In this paper, we define generalized Hukuhara diamond-alpha integral for fuzzy functions on time scales and obtain some of its fundamental properties and also we establish the rela…

gr-qc2024★ 8 cited

Wave Metrics in the Cotton and Conformal Killing Gravity Theories

Metin Gürses, Yaghoub Heydarzade, Çetin Şentürk

We study wave metrics in the context of Cotton Gravity and Conformal Killing Gravity. First, we consider pp-wave metrics with flat and non-flat wave surfaces and show that they are…

gr-qc2024★ 3 cited

Classical double copy in the black hole mini-superspace

Gokhan Alkac, Mehmet Kemal Gumus, Mehmet Ali Olpak

We give a novel formulation of classical double copy in the mini-superspace of static, spherically symmetric black holes where the map between the solutions of general relativity a…

gr-qc2024★ 4 cited

Minimal Einstein-Aether Theory

Metin Gurses, Cetin Senturk, Bayram Tekin

We show that there is a phenomenologically and theoretically consistent limit of the generic Einstein-Aether theory in which the Einstein-Aether field equations reduce to Einstein…

hep-th2023★ 15 cited

Regularized Weyl double copy

Gokhan Alkac, Mehmet Kemal Gumus, Oguzhan Kasikci +2

We propose a regularization procedure in the sourced Weyl double copy, a spinorial version of the classical double copy, such that it matches much more general results in the Kerr-…

math-ph2023★ 7 cited

Classification of Killing Magnetic Curves In H^3

Özgür Kelekçi, Furkan Semih Dündar, Gülhan Ayar

In this paper, we study classification of magnetic curves corresponding to Killing vector fields of H^3 (hyperbolic 3-space). First, we solve the geodesic equation analytically. Th…

gr-qc2023★ 1 cited

Israel-Wilson-Perjes Metrics in a Theory with a Dilaton Field

Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin

We are interested in the charged dust solutions of the Einstein field equations in stationary and axially symmetric spacetimes; and inquire if the naked singularities of the Israel…

cs.RO2023★ 2 cited

Flying robots for a smarter life

Abdullatif Baba

Innovative ideas are continuously emerging to produce better life conditions where essential human needs are supposed to be fulfilled with perfect scenarios leading us to propose m…

math.DG2022★ 1 cited

On Kähler Structures of Taub-NUT and Kerr Spaces

Özgür Kelekçi

In this paper, we study the Kählerian nature of Taub-NUT and Kerr spaces which are gravitational instanton and black hole solutions in general relativity. We show that Euclidean Ta…

hep-th2022★ 21 cited

Generalized Black Holes in 3D Kerr-Schild Double Copy

Gokhan Alkac, Mehmet Kemal Gumus, Mehmet Ali Olpak

The double copy of the Coulomb solution in three dimensions is a non-vacuum solution that can be obtained through different matter couplings. It is the static black hole solution o…

gr-qc2021★ 3 cited

Kerr-Schild-Kundt Metrics in Generic Einstein-Maxwell Theories

Metin Gurses, Yaghoub Heydarzade, Cetin Senturk

We study Kerr-Schild-Kundt class of metrics in generic gravity theories with Maxwell's field. We prove that these metrics linearize and simplify the field equations of generic grav…

hep-th2021★ 3 cited

New Chiral Generalized Minimal Massive Gravity

Mohammad Reza Setare, Seyed Naseh Sajadi, Suat Dengiz +1

We study the generalized minimal massive gravity (GMMG) in Compere, Song and Strominger boundary conditions employing a semi-product of a Virasoro and a Kac-Moody curr…

gr-qc2021★ 7 cited

Kerr-Schild-Kundt Metrics in Generic Gravity Theories with Modified Horndeski Couplings

Metin Gurses, Yaghoub Heydarzade, Cetin Senturk

The Kerr-Schild-Kundt (KSK) metrics are known to be one of the universal metrics in general relativity, which means that they solve the vacuum field equations of any gravity theory…

gr-qc2021★ 2 cited

Exact gyratons in higher and infinite derivative gravity

Ivan Kolář, Tomáš Málek, Suat Dengiz +1

We study solutions describing spinning null sources called gyratons in generic theories of gravity with terms that are quadratic in curvature and contain an arbitrary number of cov…

hep-th2021★ 40 cited

Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions

Gokhan Alkac, Mehmet Kemal Gumus, Mehmet Ali Olpak

While the Kerr-Schild double copy of the Coulomb solution in dimensions higher than three is the Schwarzschild black hole, it is known that it should be a non-vacuum solution in th…

nlin.CG2020★ 1 cited

Operator representation and logistic extension of elementary cellular automata

M. Ibrahimi, A. Güçlü, N. Jahangirov +3

We redefine the transition function of elementary cellular automata (ECA) in terms of discrete operators. The operator representation provides a clear hint about the way systems be…

gr-qc2020★ 113 cited

Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''

Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin

We summarize our proof that the "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime" introduced in Phys. Rev. Lett. 124, 081301 (2020) does not have consistent field equat…

gr-qc2020★ 30 cited

Impulsive waves in ghost free infinite derivative gravity in anti-de Sitter spacetime

Suat Dengiz, Ercan Kilicarslan, Ivan Kolář +1

We study exact impulsive gravitational waves propagating in anti-de Sitter spacetime in the context of the ghost free infinite derivative gravity. We show that the source-free theo…

gr-qc2020★ 228 cited

Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?

Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin

No! We show that the field equations of Einstein-Gauss-Bonnet theory defined in generic dimensions split into two parts one of which always remains higher dimensional, and he…

cs.RO2020★ 12 cited

A new design of a flying robot, with advanced computer vision techniques to perform self-maintenance of smart grids

Abdullatif Baba

In this paper, we present a full design of a flying robot to investigate the state of power grid components and to perform the appropriate maintenance procedures according to each…