General Relativity and Gravitation最新文献

We consider a spherically symmetric homogeneous perfect fluid undergoing a gravitational collapse to singularity in the framework of higher-dimensional Rastall gravity in the cases of vanishing and nonvanishing cosmological constants. The possible final states of the collapse in any finite dimension are black hole and naked singularity, but the naked singularity formation becomes less favored when the dimension is increased. We find that there are two physically distinct solutions for the collapse evolution in the case of nonzero cosmological constant: trigonometric and exponential solutions. The effective energy density of the fluid is decreasing (increasing) in the former (latter) when the magnitude of the cosmological constant is increased, which implies that the former undergoes a slower collapse than the latter. Furthermore, we find that a temporary trapped surface is possible to emerge in the case of trigonometric solution in the naked singularity region only. Therefore, distant observers with observational time shorter than the collapse duration may conclude that a black hole is formed, although the collapse will eventually lead to a naked singularity formation.

This research analyses the spacetime geometry of the static black bottle by studying the geodesic motion of photons. Geodesic equations are found using the Hamilton–Jacobi formalism. The geodesics are then classified based on a set of appropriate conserved physical quantities. Effective potentials are used to visualise the allowed orbits. The classifications also vary based on the acceleration parameter of the spacetime. Analytical solutions are found using the Jacobi elliptic functions of the first and second kinds, ({{,textrm{sn},}}(u,m), {{,textrm{cn},}}(u,m)). The geodesics are then visualised using isometric embedding alongside the horizons of the black bottle.

Neutron stars (NSs), superdense objects with exceptionally strong gravitational fields, provide an ideal laboratory for probing general relativity (GR) in the high-curvature regime. They also present an exciting opportunity to explore new gravitational physics beyond the traditional framework of GR. Thus, investigating modified theories of gravity in the context of superdense stars is intriguing and essential for advancing our understanding of gravitational phenomena in extreme environments. energy-momentum squared gravity (EMSG) is a modified theory of gravity that extends GR by including nonlinear terms involving the energy-momentum tensor (T_{mu nu }). EMSG and GR are indistinguishable in local tests like Solar System experiments, as both yield identical gravitational potentials, parametrized post-Newtonian (PPN) parameters, and geodesic motion in the weak-field regime. Therefore, detecting EMSG effects requires alternative approaches, such as NS observations in strong-field gravity. In this study, we examine the effects of EMSG on the properties and behaviour of NSs by varying the free parameter (alpha ). The hydrostatic equilibrium equations in the EMSG framework are derived and solved numerically to obtain mass-radius relations for soft, stiff, and intermediate equations of state (EOS). Observational measurements of NS masses and radii are used to constrain the fundamental-mode (f-mode) oscillation frequency through its universal relation with the tidal Love number and compactness. Results indicate that the stiff EOS undergoes a phase transition at the highest energy densities and pressures, followed by the intermediate and soft EOSs, highlighting the distinctive characteristics of these models. We also study the impact of EOS choice on the sound speed profile of NSs, reaffirming the physical validity of the models across the different (alpha ) values.

We analytically study cosmological evolution in a flat FLRW spacetime in the context of modified STEGR gravity or f(Q), using an exponential two-parameter model which represents a smooth perturbative expansion around the (Lambda )CDM model. The cosmological analysis is carried out by calculating the Hubble parameter as a function of redshift, for selected values of the parameters. The Hubble parameter is obtained analytically by means of several approximations good enough to deviate slightly from the numerical solution. Several late-time cosmological parameters are computed, such as dark energy state parameter, deceleration parameter, and statefinder parameters. Additionally, we analyzed the behavior of the classical energy conditions WEC, SEC, NEC, and DEC for both the combination of matter and geometrical contribution and the geometrical contribution alone. Beyond the background level, linear matter perturbations are studied by calculating parameters relevant to structure growth and formation. The overall results indicate that the model may exhibit quintessence-like and phantom-like behavior and it also impacts the growth of structures in the universe by means late-time contributions to clustering.

This work revisits the agegraphic dark energy (ADE) model by associating fractional entropy with the apparent horizon. This reveals the extent to which quantum-gravitational effects deform the horizon. The thermodynamic-gravity conjecture modifies the entropy expression, leading to changes in the energy density of ADE and the Friedmann equations. Based on this relationship, we have utilized modified fractional cosmology to investigate the cosmological implications of ADE and demonstrate how the exponent (delta ) affects the evolution of cosmic parameters. Depending on the value of (delta ), the equation of state (EoS) parameter (omega _{text {DE}}) make transition from the quintessence range ((-1< omega _{text {DE}} < -1/3)) to the phantom regime ((omega _{text {DE}} < -1)), resulting in a shift from early deceleration to late time acceleration. Furthermore, the stability, theoretical and observational analyses of both the old and the new ADE models are discussed. All ADE results are reproduced in standard cosmology when (delta = 2).

In this work, we examine head-on collisions, produced by other work, of (ell )-boson stars, potential candidates for dark matter compact objects. We begin with a review of the general properties and features of these stars, leveraging results from prior studies to analyze the gravitational wave signals generated by such collisions. Considering a maximum distance of 100 Mpc for potential events, we identify the range of scalar field masses and frequencies for these stars that would render the gravitational waves detectable by current gravitational wave observatories. The ranges obtained for the scalar field masses are (m_phi ,c^2 in [10^{-15}, 10^{-10}]) eV. Additionally, we process the resulting signals to generate simulated observatory images, highlighting their similarities and differences compared to those produced by black hole collisions.

It has now been widely accepted that many inflation models can account for the formation of primordial black holes (PBHs). In particular, it has been fully realized that the PBH formation depends crucially on the tails of the probability distribution function of the curvature perturbation. I will review some models of inflation that give rise to the PBH formation, and their observational implications, in particular, for the blossoming field of gravitational-wave cosmology.

In this paper, we consider the coupling of the metric-affine bumblebee gravity to the Abelian gauge field and obtain the effective model corresponding to the weak gravity limit of this theory. The effective bumblebee theory displays new unconventional couplings between the bumblebee field and its field strength, and the U(1) gauge field along with its respective field strength, as a result of the non-metricity effects. Thus, being a new gauge-bumblebee theory, it represents an example of vector-vector couplings which are very rarely considered, if not entirely overlooked, in the Abelian case. For this theory, we calculate the lower perturbative corrections. We close the paper with discussions of other possible vector-vector couplings.

In this contribution we present an overview of our work on the numerical simulation of the perturbation of a black hole space-time by incoming gravitational waves. The formulation we use is based on Friedrich’s general conformal equations which have the unique property that they allow access to the asymptotic region of an asymptotically regular space-time. In our approach we set up an initial boundary value problem on a finite boundary, which cleanly separates the initial conditions, a static black hole, from the perturbation, an incoming gravitational wave specified by a spin-2 function on the time-like boundary. The main advantage of this approach is that the finite boundary expands fast enough to reach null-infinity where the asymptotic properties can be studied. This provides, for the first time, a direct relationship between finite initial and boundary data and asymptotic quantities within one simulation. We discuss the possibilities and limitations of this approach.

In this work, we investigate a static spherically symmetric Reissner–Nordström event horizon and a naked singularity by analyzing the behavior of a gyroscope transported along a timelike curve. We find that the precession frequency remains finite for both the black hole and the naked singularity as long as the trajectory is timelike. Our objective is to quantify the differences in the gyroscope’s precession behavior when approaching an event horizon versus a naked singularity. Additionally, we explore the potential for distinguishing between an event horizon and a naked singularity by examining the reversal of the precession frequency.