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We propose a generalized thermodynamics in which quasi-homogeneity of the thermodynamic potentials plays a fundamental role. This thermodynamic formalism arises from a generalization of the approach presented in paper [1], and it is based…

General Relativity and Quantum Cosmology · Physics 2015-06-25 F. Belgiorno

The specification of energy for gravitating systems has been an unsettled issue since Einstein proposed his pseudotensor. It is now understood that energy-momentum is \emph{quasi-local} (associated with a closed 2-surface). Here we consider…

General Relativity and Quantum Cosmology · Physics 2018-11-15 Chiang-Mei Chen , Jian-Liang Liu , James M. Nester

Observations of neutron stars and the precise measurement of their macroscopic properties have provided valuable insights into fundamental physics, both by constraining the behavior of nuclear matter under extreme conditions and by enabling…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Jayana A. Saes , Abhishek Hegade K. R. , Nicolás Yunes

We derive the gravitational energy momentum tensor $\tau^{\eta}_{\alpha}$ for a general Lagrangian of any order $L=L\left(g_{\mu\nu}, g_{\mu\nu,i_{1}}, g_{\mu\nu,i_{1}i_{2}},g_{\mu\nu,i_{1}i_{2}i_{3}},\cdots, g_{\mu\nu,i_{1}i_{2}i_{3}\cdots…

General Relativity and Quantum Cosmology · Physics 2017-05-24 S. Capozziello , M. Capriolo , M. Transirico

We describe a simple extension to existing models for the tidal heating of dark matter subhalos which takes into account second order terms in the impulse approximation for tidal heating. We show that this revised model can accurately match…

Astrophysics of Galaxies · Physics 2022-10-05 Andrew J. Benson , Xiaolong Du

The tidal properties of a neutron star are measurable in the gravitational waves emitted from inspiraling binary neutron stars, and they have been used to constrain the neutron star equation of state. In the same spirit, we study the…

High Energy Astrophysical Phenomena · Physics 2022-07-07 Kwing-Lam Leung , Ming-Chung Chu , Lap-Ming Lin

We present our first numerical results of axisymmetric magnetohydrodynamic simulations for neutrino-cooled accretion tori around rotating black holes in general relativity. We consider tori of mass $\sim 0.1$--0.4$M_{\odot}$ around a black…

Astrophysics · Physics 2009-06-23 M. Shibata , Y. Sekiguchi , R. Takahashi

Our recent Newtonian treatment of the smooth-averaged mutual-friction force acting on the neutron superfluid and locally induced by the pinning of quantized neutron vortices to proton fluxoids in the outer core of superfluid neutron stars…

High Energy Astrophysical Phenomena · Physics 2021-03-17 Aurélien Sourie , Nicolas Chamel

In this paper we show in a covariant and gauge invariant way that in general relativity, tidal forces are actually a hidden form of gravitational waves. This must be so because gravitational effects cannot occur faster than the speed of…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Rituparno Goswami , George F. R. Ellis

We construct the gravitational energy-momentum tensor in general relativity through the Noether theorem. In particular, we explicitly demonstrate that the constructed quantity can vary as a tensor under the general coordinate…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Kazuharu Bamba , Katsutaro Shimizu

We investigate the stability criterions for perfect fluid in $f(R)$ theories which is an important generalization of general relativity. Firstly, using Wald's general variation principle, we recast Seifert's work and obtain the dynamical…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Xiongjun Fang , Xiaokai He , Jiliang Jing

We study the effect of superfluidity on the tidal response of a neutron star in a general relativistic framework. In this work, we take a dual-layer approach where the superfluid matter is confined in the core of the star. Then, the…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Sayak Datta , Prasanta Char

There is a growing interest in investigating modified theories of gravity, primarily, with the aim of explaining the universe's accelerated expansion, which has been confirmed by several independent observations. Compact objects, like…

General Relativity and Quantum Cosmology · Physics 2021-08-16 K Nobleson , Tuhin Malik , Sarmistha Banik

When an object is scattered near a supermassive black hole (SMBH), tidal oscillations excited within it reduce its orbital energy, leading to capture by the SMBH. This process, called tidal capture, can also occur when the object approaches…

High Energy Astrophysical Phenomena · Physics 2026-03-04 Di Wang , Fa-Yin Wang

This paper has three main aims: first, to give a pedagogical introduction to Noether's two theorems and their implications for energy conservation in general relativity, which was a central point of discussion between Hilbert, Klein,…

History and Philosophy of Physics · Physics 2021-04-01 Sebastian De Haro

In this work, we investigate the tidal deformability of regular black holes (RBHs). Employing different phenomenological models, we analyze their response to both test fields and gravitational perturbations, interpreting the latter within…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Chiara Coviello , Luis Lehner , Vania Vellucci

A thermodynamic analysis of the black hole solutions coming from the Einstein-Maxwell-Dilaton theory (EMD) in 4D is done. By consider the canonical and grand-canonical ensemble, we apply standard method as well as a recent method known as…

General Relativity and Quantum Cosmology · Physics 2012-06-08 Manuel E. Rodrigues , Zui A. A. Oporto

In this article, we study the tidal effects in the gravitationally bound two-body system at next-to-next-to leading post-Newtonian order for spin-less sources in massless scalar-tensor theories. We compute the conservative dynamics, using…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Laura Bernard , Eve Dones , Stavros Mougiakakos

In this work, we establish the corrected first law of thermodynamics for dynamical regular black holes on both the event horizon and apparent horizon. We find that the temperature of dynamical regular black holes derived from the…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Tianxu Huo , Chengzhou Liu

There are some examples in the literature, in which despite the fact that the underlying theory or model does not impose a lower bound on the size of black holes, the final temperature under Hawking evaporation is nevertheless finite and…

General Relativity and Quantum Cosmology · Physics 2019-06-25 Yuan Yao , Meng-Shi Hou , Yen Chin Ong