182 citations · 981 across the 48 of their papers we have counts for
49 papers
FLRW-Cosmology in Scalar-Vector-Tensor Theories of Gravity
Metin Gürses, Yaghoub Heydarzade
We generalize our previous theorem for FLRW spacetimes within the framework of generic metric gravity theories. In earlier work, we proved that, in the absence of matter fields, th…
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…
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…
On SK and KK Integrable Systems
Metin Gürses, Aslı Pekcan
To obtain new integrable nonlinear differential equations there are some well-known methods such as Lax equations with different Lax representations. There are also some other meth…
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…
Moving null curves and integrability
Metin Gürses, Asli Pekcan
We study the null curves and their motion in a -dimensional flat space-time . We show that when the motion of null curves forms two surfaces in the integrability…
Kerr-Vaidya type radiating black holes in semi-classical gravity with conformal anomaly
Metin Gurses, Bayram Tekin
Static black holes in the conformal anomaly-sourced semi-classical General Relativity in four dimensions were extended to rotating, stationary solutions, recently. These quantum-co…
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…
Multi-component AKNS systems
Metin Gürses, Aslı Pekcan
We study two members of the multi-component AKNS hierarchy. These are multi-NLS and multi-MKdV systems. We derive the Hirota bilinear forms of these equations and obtain soliton so…
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…
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…
Soliton solutions of the shifted nonlocal NLS and MKdV equations
Metin Gürses, Aslı Pekcan
We find one- and two-soliton solutions of shifted nonlocal NLS and MKdV equations. We discuss the singular structures of these soliton solutions and present some of the graphs of t…
Classical Double Copy: Kerr-Schild-Kundt metrics from Yang-Mills Theory
Metin Gurses, Bayram Tekin
The classical double copy idea relates some solutions of Einstein's theory with those of gauge and scalar field theories. We study the Kerr-Schild-Kundt (KSK) class of metrics in $…
Nonlocal Nonlinear Schrödinger Equations and Their Soliton Solutions
Metin Gürses, Aslı Pekcan
We study standard and nonlocal nonlinear Schrödinger (NLS) equations obtained from the coupled NLS system of equations (Ablowitz-Kaup-Newell-Segur (AKNS) equations) by using standa…
A Modified Gravity Theory: Null Aether
Metin Gurses, Cetin Senturk
General quantum gravity arguments predict that Lorentz symmetry might not hold exactly in nature. This has motivated much interest in Lorentz breaking gravity theories recently. Am…
From Smooth Curves to Universal Metrics
Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin
A special class of metrics, called universal metrics, solve all gravity theories defined by covariant field equations purely based on the metric tensor. Since we currently lack the…
Kerr-Schild--Kundt Metrics are Universal
Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin
We define (non-Einsteinian) universal metrics as the metrics that solve the source-free covariant field equations of generic gravity theories. Here, extending the rather scarce fam…
Gravity Waves in Three Dimensions
Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin
We find the explicit forms of the anti-de Sitter plane, anti-de Sitter spherical, and pp waves that solve both the linearized and exact field equations of the most general higher d…
Traveling Wave Solutions of Degenerate Coupled Multi-KdV Equations
Metin Gürses, Aslı Pekcan
Traveling wave solutions of degenerate coupled -KdV equations are studied. Due to symmetry reduction these equations reduce to one ODE, where is a po…
AdS-plane wave and pp-wave solutions of generic gravity theories
Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin
We construct the AdS-plane wave solutions of generic gravity theory built on the arbitrary powers of the Riemann tensor and its derivatives in analogy with the pp-wave solutions. I…
Traveling Wave Solutions of Degenerate Coupled KdV Equation
Metin Gürses, Aslı Pekcan
We give a detailed study of the traveling wave solutions of Kaup-Boussinesq type of coupled KdV equations. Depending upon the zeros of a fourth degree polynomial, we hav…
New Exact Solutions of Quadratic Curvature Gravity
Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin
It is a known fact that the Kerr-Schild type solutions in general relativity satisfy both exact and linearized Einstein field equations. We show that this property remains valid al…
Some exact solutions of all f(Ricci) theories in three dimensions
Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin
We find constant scalar curvature Type-N and Type-D solutions in all higher curvature gravity theories with actions of the form f(Ricci) that are built on the Ricci tensor, but not…
2+1 KdV(N) Equations
Metin Gürses, Aslí Pekcan
We present some nonlinear partial differential equations in 2+1-dimensions derived from the KdV Equation and its symmetries. We show that all these equations have the same 3-solito…