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We address the issue of the existence of inequivalent definitions of gravitational mass in $R^{2}$-gravity. We present several definitions of gravitational mass, and discuss the formal relations between them. We then consider the concrete…

General Relativity and Quantum Cosmology · Physics 2019-11-15 Fulvio Sbisà , Pedro O. Baqui , Tays Miranda , Sergio E. Jorás , Oliver F. Piattella

The recent detection of gravitational waves from merging neutron star events has opened a new window on the many unknown aspects of their internal dynamics. A key role in this context is played by the transition from baryon to quark matter…

High Energy Physics - Phenomenology · Physics 2019-10-08 Abha Rajan , Tyler Gorda , Simonetta Liuti , Kent Yagi

Probing gravity in its strongest regime is a central goal of modern physics, as the nature of the most compact objects reflects fundamental aspects of Einstein's theory of general relativity (GR). In GR, black holes are regarded as the most…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Shoulong Li , H. Lü , Yong Gao , Rui Xu , Lijing Shao , Hongwei Yu

Einstein-Cartan gravity is a close historical sibling of general relativity that allows for spacetime torsion. As a result, angular momentum couples to spacetime geometry in a similar way to energy. While consequences of this are well…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Cédric Jockel , Leon Menger

In this work we investigate neutron stars (NS) in $f(\mathtt{R,L_m})$ theory of gravity for the case $f(\mathtt{R,L_m}) = \mathtt{R} + \mathtt{L_m} + \sigma\mathtt{R}\mathtt{L_m}$, where $\mathtt{R}$ is the Ricci scalar and $\mathtt{L_m}$…

General Relativity and Quantum Cosmology · Physics 2021-11-19 R. V. Lobato , G. A. Carvalho , C. A. Bertulani

Neutron stars are compact and dense celestial objects that offer the unique opportunity to explore matter and its interactions under conditions that cannot be reproduced elsewhere in the Universe. Their extreme gravitational, rotational and…

High Energy Astrophysical Phenomena · Physics 2024-01-29 Stefano Ascenzi , Vanessa Graber , Nanda Rea

In the past few years, new observations of neutron stars and neutron-star mergers have provided a wealth of data that allow one to constrain the equation of state of nuclear matter at densities above nuclear saturation density. However,…

High Energy Astrophysical Phenomena · Physics 2021-11-18 Peter T. H. Pang , Ingo Tews , Michael W. Coughlin , Mattia Bulla , Chris Van Den Broeck , Tim Dietrich

The so-called hyperon puzzle in the theory of neutron stars is considered in the framework of modified $f(R)$ gravity. We show that for simple hyperon equations of state, it is possible to obtain the maximal neutron star mass which…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Artyom V. Astashenok , Salvatore Capozziello , Sergei D. Odintsov

The motivations for investigating a theory of gravitation based on a concept of "ether" are discussed-- a crucial point is the existence of an alternative interpretation of special relativity, named the Lorentz-Poincar\'e ether theory. The…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mayeul Arminjon

Modified theories of gravity that offer viable models for dark energy often rely on mechanisms that screen their effects in high density environments. From this perspective, it would appear that, once solar system constraints are satisfied,…

General Relativity and Quantum Cosmology · Physics 2020-07-24 Bernardo F. de Aguiar , Raissa F. P. Mendes

In this lecture, we give a first introduction to neutron stars, based on fundamental physical principles. After outlining their amazing macroscopic properties, as obtained from observations, we infer the extreme conditions of matter in…

High Energy Astrophysical Phenomena · Physics 2010-01-11 Pierre M. Pizzochero

With the equations of state provided by the newly developed density dependent relativistic Hartree-Fock (DDRHF) theory for hadronic matter, the properties of the static and $\beta$-equilibrium neutron stars without hyperons are studied for…

Nuclear Theory · Physics 2010-11-23 Bao Yuan Sun , Wen Hui Long , Jie Meng , U. Lombardo

We demonstrate that the largest measured mass of a neutron star establishes an upper bound to the energy density of observable cold matter. An equation of state-independent expression satisfied by both normal neutron stars and self-bound…

Astrophysics · Physics 2009-11-10 James M. Lattimer Madappa Prakash

In this work, we explore the impact of higher dimensional spacetime on the stellar structure and thermodynamic properties of neutron stars. Utilizing the density-dependent relativistic hadron field theory, we introduce modifications to…

General Relativity and Quantum Cosmology · Physics 2024-03-13 Debabrata Deb , Manjari Bagchi , Sarmistha Banik

Matter at ultra-high densities finds a physical realization inside neutron stars. One key property is their maximum mass, which has far-reaching implications for astrophysics and the equation of state of ultra dense matter. In this work, we…

High Energy Astrophysical Phenomena · Physics 2025-07-01 Lívia S. Rocha , Jorge E. Horvath , Lucas M. de Sá , Gustavo Y. Chinen , Lucas G. Barão , Marcio G. B. de Avellar

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

Neutron stars are the densest objects known in our visible universe. Properties of matter inside a neutron star are encoded in its equation of state, which has wide-ranging uncertainty from a theoretical perspective. With the current…

High Energy Astrophysical Phenomena · Physics 2022-04-20 Bhaskar Biswas

We derive the empirical formulae expressing the mass and gravitational redshift of a neutron star, whose central density is less than threefold the nuclear saturation density, as a function of the neutron-skin thickness or the dipole…

Nuclear Theory · Physics 2023-03-13 Hajime Sotani , Tomoya Naito

The potential role of a cosmic vacuum dark component in the properties of neutron stars is investigated. It is assumed that the static, spherically symmetric distribution of matter within neutron stars is supported by two distinct…

High Energy Physics - Phenomenology · Physics 2024-08-05 L. F. Araujo , J. A. S. Lima , G. Lugones

Physically based changes to general relativity (GR) often predict significant differences in how spacetime behaves near massive neutron stars. One of these modifications is represented by $f(\mathcal{Q}, { \mathcal{T}})$, with $\mathcal{Q}$…

General Relativity and Quantum Cosmology · Physics 2024-10-21 G. G. L. Nashed , Tiberiu Harko