Thermodynamics of higher-dimensional Ayon-Beato–Garcia black holes in noncommutative geometry with Lorentzian smearing

Noncommutative Bochner–Riesz means and K-functionals on quantum tori

Logarithmic Corrections to Bekenstein-Hawking Entropy and Their Cosmological Implications

Spherically symmetric vacuum solution in Freund–Nambu scalar–tensor gravity

We present an exact solution in Freund–Nambu scalar–tensor gravity that extends the Janis–Newman–Winnicour (JNW) naked-singularity spacetime. The metric retains the JNW form governed by parameter n, while a new parameter q deforms the profile of the massive scalar field φ.\documentclass[12pt]{minimal} \usepackage{amsma...

Rigidity of Free Boundary Surfaces via a Modified Charged Hawking Mass

We introduce a modified charged Hawking mass for free boundary surfaces in time-symmetric three-dimensional Einstein–Maxwell initial data sets with a cosmological constant, and we investigate the rigidity of free boundary minimal two-disks that locally maximize this mass in Riemannian three-manifolds for which R-2|E|2\...

FLRW-compatible tensors and perfect-fluid universality in modified gravity

We study FLRW-compatible tensor fields on Friedmann–Lemaître–Robertson–Walker spacetimes in (D+1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docu...

Long-Time Dynamics of Nonlinear Dirac Equations with a Class of Large Data