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We describe a new method to incorporate thermonuclear heating in the envelope of accreting neutron star into long term simulations of their thermal evolution. We obtain boundary conditions for the heat exchange between the envelope and the…

High Energy Astrophysical Phenomena · Physics 2025-09-01 Martin Nava-Callejas , Dany Page , Yuri Cavecchi

We present a methodical study of the thermal and nuclear properties for the hot nuclear matter using relativistic-mean field theory. We examine the effects of temperature on the binding energy, pressure, thermal index, symmetry energy, and…

High Energy Physics - Phenomenology · Physics 2021-09-17 Ankit Kumar , H. C. Das , M. Bhuyan , S. K. Patra

Neutron stars cooling passively since their birth may be reheated in their late-stage evolution by a number of possible phenomena: rotochemical, vortex creep, crust cracking, magnetic field decay, or more exotic processes such as removal of…

High Energy Astrophysical Phenomena · Physics 2024-03-13 Nirmal Raj , Prajwal Shivanna , Gaurav Niraj Rachh

Previously, the Einstein equation has been described as an equation of state, general relativity as the equilibrium state of gravity, and $f({\cal R})$ gravity as a non-equilibrium one. We apply Eckart's first order thermodynamics to the…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Valerio Faraoni , Andrea Giusti

A novel equation of state with the surface tension induced by particles' interactions was generalized to describe the properties of the neutron stars (NSs). In this equation the interaction between particles occurs via the hard core…

High Energy Astrophysical Phenomena · Physics 2017-12-19 Violetta V. Sagun , Ilidio Lopes

First-order phase transitions (FOPTs) in cold neutron stars (NSs) have been extensively studied and have provided valuable insights into the behavior of the densest matter visible in our Universe, although a strong consensus has yet to…

High Energy Astrophysical Phenomena · Physics 2025-11-12 Bao-Jun Cai , Bao-An Li , Yu-Gang Ma

We complete our previous investigation concerning the structure and the stability of "isothermal" spheres in general relativity. This concerns objects that are described by a linear equation of state $P=q\epsilon$ so that the pressure is…

Astrophysics · Physics 2009-11-13 Pierre-Henri Chavanis

We show that Jacobson's thermodynamic derivation of Einstein's equations remains valid when local Rindler horizons are treated as finite heat-capacity systems, resolving the unphysical infinite-bath assumption of standard Unruh…

High Energy Physics - Theory · Physics 2026-03-02 F. Barzi , H. El Moumni , K. Masmar

The oscillation spectrum of a neutron star is notably rich and intrinsically dependent on the equation of state of nuclear matter. With recent advancements in gravitational-wave and electromagnetic astronomy, we are nearing the capability…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Fabian Gittins , Nils Andersson

We study static spherically symmetric solutions to Einstein's equations with a repulsive singularity at the centre. We show that geodesics are extendible across the singularity, so the singularity does not lead to pathological causality…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Ntina Savvidou , Charis Anastopoulos

We formulate the equations of equilibrium of neutron stars taking into account strong, weak, electromagnetic, and gravitational interactions within the framework of general relativity. The nuclear interactions are described by the exchange…

Solar and Stellar Astrophysics · Physics 2012-06-01 Riccardo Belvedere , Daniela Pugliese , Jorge A. Rueda , Remo Ruffini , She-Sheng Xue

We investigate the thermal Casimir effect for a massless scalar field in the curved spacetime of a neutron star within the Thermo Field Dynamics (TFD) formalism. Starting from the renormalized energy-momentum tensor, we generalize the…

General Relativity and Quantum Cosmology · Physics 2025-12-23 K. E. L. de Farias , M. A. Anacleto , Rafael A. Batista , Iver Brevik , F. A. Brito , E. Passos , Amilcar R. Queiroz , Lázaro L. Sales

We investigate nuclear pasta phases appearing in hot neutron-star matter based on the compressible liquid-drop model, where the matter consists of a dense liquid phase and a dilute gas phase separated by a sharp interface. The surface…

Nuclear Theory · Physics 2026-03-18 Jian Zhou , Junbo Pang , Hong Shen , Jinniu Hu

We extend on ideas from standard thermodynamics to show that temperature can be assigned to a general nonequilibrium quantum system. By choosing a physically motivated complete set of observables and expanding the system state thereupon,…

Quantum Physics · Physics 2021-05-26 S. Alipour , F. Benatti , M. Afsary , F. Bakhshinezhad , M. Ramezani , T. Ala-Nissila , A. T. Rezakhani

Stability of nuclei beyond the drip lines in the presence of an enveloping gas of nucleons and electrons, as prevailing in the inner crust of a neutron star, is studied in the temperature-dependent Thomas-Fermi framework. A limiting…

Nuclear Theory · Physics 2009-11-07 Tapas Sil , J. N. De , S. K. Samaddar , X. Vinas , M. Centelles , B. K. Agrawal , S. K. Patra

Regarding a $d-$dimensional spherically symmetric line element in the context of Einstein-$\Lambda$ gravity, the hydrostatic equilibrium equation of stars is obtained. Then, by using the lowest order constrained variational (LOCV) method…

General Relativity and Quantum Cosmology · Physics 2017-01-30 G. H. Bordbar , S. H. Hendi , B. Eslam Panah

The frozen star is a recent proposal for a non-singular solution of Einstein's equations that describes an ultracompact object which closely resembles a black hole from an external perspective. The frozen star is also meant to be an…

General Relativity and Quantum Cosmology · Physics 2023-10-19 Ram Brustein , A. J. M. Medved , Tamar Simhon

The crust of a neutron star is known to melt at a temperature that increases with increasing matter density, up to about $10^{10}$ K. At such high temperatures and beyond, the crustal ions are put into collective motion and the associated…

High Energy Astrophysical Phenomena · Physics 2023-09-06 H. Dinh Thi , A. F. Fantina , F. Gulminelli

In this work, we investigate the existence of neutron stars (NS) in the framework of $f$($\mathbb{T}$,$\mathcal{T}$) gravity, where $\mathbb{T}$ is the torsion tensor and $\mathcal{T}$ is the trace of the energy-momentum tensor. The…

High Energy Astrophysical Phenomena · Physics 2023-01-11 Clésio E. Mota , Luis C. N. Santos , Franciele M. da Silva , Cesar V. Flores , Iarley P. Lobo , Valdir B. Bezerra

The late-time entropy production by the massive particle decay induces the various cosmological effects in the early epoch and modify the standard scenario. We investigate the thermalization process of the neutrinos after the entropy…

Astrophysics · Physics 2016-08-30 M. Kawasaki , K. Kohri , Naoshi Sugiyama