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19962026
most citedEnergy in Generic Higher Curvature Gravity Theories

459 citations · 3.9k across the 157 of their papers we have counts for

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gr-qc2026

Nonlinear Degrees of Freedom of Born-Infeld New Massive Gravity

Zeynep Su Koc, Bayram Tekin

Born-Infeld New Massive Gravity (BINMG) is an all-order curvature extension of New Massive Gravity in three dimensions, whose linearized spectrum around its unique maximally symmet…

gr-qc2026

Conserved Gravitational Charges as Curvature Fluxes

Emel Altas, Bayram Tekin

Conserved gravitational charges are commonly expressed as surface integrals of the metric perturbation and its first derivatives. We show that, in the usual asymptotically AdS and…

gr-qc2026

Dynamical Completion of Coupling-Charge Thermodynamics

Kamal Hajian, Bayram Tekin

The scalar-gauge pair formulation promotes gravitational coupling constants to conserved charges, clarifying their role in extended black hole thermodynamics. However, its original…

gr-qc2026

The auxiliary-metric formulation of Born-Infeld New Massive Gravity

Bayram Tekin

Born-Infeld New Massive Gravity (BINMG) completes New Massive Gravity to all orders in curvature through the determinant of the metric shifted by the Einstein tensor. We recast it…

gr-qc2026

The Flat Critical Branch Between Nariai and Bertotti-Robinson Geometries as a Solution of Cosmological Einstein-Maxwell Theory

Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin

We analyze a class of product geometries of the form supported by electric, magnetic, or dyonic flux in the Einstein-Maxwell- theory. These spacetim…

gr-qc2026

Static Tidal Perturbations of Relativistic Stars: Corrected Center Expansion and Love Numbers-I

Emel Altas, Ercan Kilicarslan, Onur Oktay +1

We revisit static tidal perturbations of relativistic stars with emphasis on two technical issues in the standard quadrupolar formulation. First, we derive the regular-center Frobe…

gr-qc2026

Geometrically Significant Surfaces of Black Holes from a Single Scalar

Cagdas Ulus Agca, Bayram Tekin

Black hole spacetimes contain several geometrically distinguished hypersurfaces, including event and Cauchy horizons, stationary-limit surfaces, and curvature singularities. These…

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…

gr-qc2026

Geometry is Wavy: Curvature Wave Equations for Generic Affine Connections

Emel Altas, Bayram Tekin

Geometry is wavy: even at the purely geometric level (no particular theory chosen), curvature satisfies a covariant quasilinear wave equation. In Riemannian geometry equipped with…

gr-qc2025

A Universal Smarr Formula via Coupling Constants

Kamal Hajian, Bayram Tekin, Onur Ucanok

In gravitational theories containing matter fields and higher-derivative corrections, the standard Smarr formula often fails unless all dimensionful couplings are incorporated cons…

gr-qc2025

Can Fractional Time Operators Reproduce Gravitational-Wave Memory? A No-Go Result

Sercan Kaya, Bayram Tekin

We initiate an investigation into whether fractional calculus, with its intrinsic long-tailed memory and nonlocal features, can provide a viable model for gravitational-wave memory…

gr-qc2025

Perturbative Analytical Construction of Bowen-York Initial Data for Binary Black Holes up to Third Order in Spin and Linear Momentum

Leyla Ogurol, Tore Boybeyi, Bayram Tekin

We analytically construct initial data for binary black hole systems by solving the Einstein constraint equations within the Bowen-York framework. Allowing for arbitrarily oriented…

gr-qc2025

Instability and Information Production Around Kerr Black Holes: Effects on Entropy and the Shadow

Aydin Tavlayan, Bayram Tekin

Massless or massive particles in unstable orbits around a Kerr black hole exhibit exponentially unstable motion when perturbed. They either plunge into the black hole or escape to…

gr-qc2025

Physical Interpretations of Integration Constants and Large Gauge Effects in Flat and AdS Spacetimes

Leyla Ogurol, Bayram Tekin

As in other partial differential equations, one ends up with some arbitrary constants or arbitrary functions when one integrates Einstein's equations, or more generally field equat…

gr-qc2025★ 8 cited

Consistency Problems of Conformal Killing Gravity

Emel Altas, Bayram Tekin

We show that gravity field equations based on a tensor with rank greater than 2 have consistency problems in the sense that integration constants in the solutions, such as the para…

gr-qc2024

Fluid-membrane Descriptions of Various Black Holes

Cagdas Ulus Agca, Bayram Tekin

The membrane paradigm of black holes is an effective theory that replaces the event horizon with a fictitious yet tangible fluid. It has provided us with valuable insights, especia…

gr-qc2024★ 6 cited

Vanishing of Conserved Charges in Cotton Gravity

Emel Altas, Bayram Tekin

Cotton gravity was recently introduced as a higher derivative extension of General Relativity. The field equations of the theory involve the rank-3 Cotton tensor. Here we show that…

gr-qc2024★ 2 cited

Refined Thermodynamics of Black Holes with Proper Conserved Charges

Aydin Tavlayan, Bayram Tekin

Field equations of a classical, geometric, theory of gravity, augmented with some semiclassical considerations strongly suggest that the gravitational field representing a stationa…

gr-qc2024★ 3 cited

Membrane Paradigm Approach to the Johannsen-Psaltis Black Hole

Cagdas Ulus Agca, Bayram Tekin

The Johannsen-Psaltis (JP) black hole is a phenomenologically viable metric obtained by judiciously deforming the Kerr black hole such that the metric is asymptotically flat and ca…

gr-qc2024★ 1 cited

Constraints and Time Evolution in Generic (Riemann) Gravity

Emel Altas, Bayram Tekin

We give a detailed canonical analysis of the -dimensional (Riemann) gravity, correcting the earlier results in the literature. We also write the field equations in the Fische…

gr-qc2024

Spin-spin Interactions in General Relativity versus Linearized Massive Gravity: -body Simulations

Eren Gulmez, Bayram Tekin

We simulated spin-spin interactions of -bodies in linearized General Relativity (GR) and linearized Massive Gravity of the Fierz-Pauli type (mGR). It was noted earlier that ther…

gr-qc2024

Anomaly Induced Inflation in the Minimal Quartic Extension of Einstein's Gravity

Kerim Demirel, Bayram Tekin

A particular extension of Einstein's General Relativity up to and including quartic terms in the curvature tensor is minimal in the sense that it has a unique maximally symmetric v…

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…

gr-qc2023★ 3 cited

Non-stationary Energy of Perfect Fluid Sources in General Relativity

Emel Altas, Bayram Tekin

The ADM energy for asymptotically flat spacetimes or its generalizations to asymptotically non-flat spacetimes measure the energy content of a stationary spacetime, such as a singl…