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Cosmological Preliminaries 宇宙预赛
arXiv: General Relativity and Quantum Cosmology Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-61574-1_13
R. Adler
{"title":"Cosmological Preliminaries","authors":"R. Adler","doi":"10.1007/978-3-030-61574-1_13","DOIUrl":"https://doi.org/10.1007/978-3-030-61574-1_13","url":null,"abstract":"","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72957158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Black Holes and Gravitational Collapse 黑洞和引力坍缩
arXiv: General Relativity and Quantum Cosmology Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-61574-1_10
R. Adler
{"title":"Black Holes and Gravitational Collapse","authors":"R. Adler","doi":"10.1007/978-3-030-61574-1_10","DOIUrl":"https://doi.org/10.1007/978-3-030-61574-1_10","url":null,"abstract":"","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80677843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The effects of the dark energy on the static Schrödinger–Newton system — An Adomian Decomposition Method and Padé approximants based approach 暗能量对静态Schrödinger-Newton系统的影响——一种基于Adomian分解和pad<s:1>近似的方法
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-12-15 DOI: 10.1142/S0217732321500383
M. Mak, C. Leung, T. Harko
{"title":"The effects of the dark energy on the static Schrödinger–Newton system — An Adomian Decomposition Method and Padé approximants based approach","authors":"M. Mak, C. Leung, T. Harko","doi":"10.1142/S0217732321500383","DOIUrl":"https://doi.org/10.1142/S0217732321500383","url":null,"abstract":"The Schr\"{o}dinger-Newton system is a nonlinear system obtained by coupling together the linear Schr\"{o}dinger equation of quantum mechanics with the Poisson equation of Newtonian mechanics. In the present work we will investigate the effects of a cosmological constant (dark energy or vacuum fluctuation) on the Schr\"{o}dinger-Newton system, by modifying the Poisson equation through the addition of a new term. The corresponding Schr\"{o}dinger-Newton-$Lambda$ system cannot be solved exactly, and therefore for its study one must resort to either numerical or semianalytical methods. In order to obtain a semianalytical solution of the system we apply the Adomian Decomposition Method, a very powerful method used for solving a large class of nonlinear ordinary and partial differential equations. Moreover, the Adomian series are transformed into rational functions by using the Pad'{e} approximants. The semianalytical approximation is compared with the full numerical solution, and the effects of the dark energy on the structure of the Newtonian quantum system are investigated in detail.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88162178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Black holes and other spherical solutions in quadratic gravity with a cosmological constant 黑洞和其他具有宇宙常数的二次引力的球形解
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-12-15 DOI: 10.1103/PHYSREVD.103.064049
V. Pravda, A. Pravdová, J. Podolský, R. Švarc
{"title":"Black holes and other spherical solutions in quadratic gravity with a cosmological constant","authors":"V. Pravda, A. Pravdová, J. Podolský, R. Švarc","doi":"10.1103/PHYSREVD.103.064049","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.064049","url":null,"abstract":"We study static spherically symmetric solutions to the vacuum field equations of quadratic gravity in the presence of a cosmological constant $Lambda$. Motivated by the trace no-hair theorem, we assume the Ricci scalar to be constant throughout a spacetime. Furthermore, we employ the conformal-to-Kundt metric ansatz that is valid for all static spherically symmetric spacetimes and leads to a considerable simplification of the field equations. We arrive at a set of two ordinary differential equations and study its solutions using the Frobenius-like approach of (infinite) power series expansions. While the indicial equations considerably restrict the set of possible leading powers, careful analysis of higher-order terms is necessary to establish the existence of the corresponding classes of solutions. We thus obtain various non-Einstein generalizations of the Schwarzschild, (anti-)de Sitter [or (A)dS for short], Nariai, and Pleba'{n}ski-Hacyan spacetimes. Interestingly, some classes of solutions allow for an arbitrary value of $Lambda$, while other classes admit only discrete values of $Lambda$. For most of these classes, we give recurrent formulas for all series coefficients. We determine which classes contain the Schwarzschild-(A)dS black hole as a special case and briefly discuss the physical interpretation of the spacetimes. In the discussion of physical properties, we naturally focus on the generalization of the Schwarzschild-(A)dS black hole, namely the Schwarzschild-Bach-(A)dS black hole, which possesses one additional Bach parameter. We also study its basic thermodynamical properties and observable effects on test particles caused by the presence of the Bach tensor. This work is a considerable extension of our letter [Phys. Rev. Lett., 121, 231104, 2018].","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89549479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Eddington gravity with matter: An emergent perspective Eddington重力与物质:一个涌现的视角
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-12-15 DOI: 10.1103/PHYSREVD.103.064033
S. Chakraborty, T. Padmanabhan
{"title":"Eddington gravity with matter: An emergent perspective","authors":"S. Chakraborty, T. Padmanabhan","doi":"10.1103/PHYSREVD.103.064033","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.064033","url":null,"abstract":"We describe an action principle, within the framework of the Eddington gravity, which incorporates the matter fields in a simple manner. Interestingly, the gravitational field equations derived from this action is identical to the Einstein's equations, in contrast with the earlier attempts in the literature. The cosmological constant arises as an integration constant in this approach. In fact, the derivation of the field equations demands the existence of a non-zero cosmological constant, thereby providing the raison d'^{e}tre for a non-zero cosmological constant, implied by the current observations. Several features of our approach strongly support the paradigm that gravity is an emergent phenomenon and, in this perspective, our action principle could have a possible origin in the microstructure of the spacetime. We also discuss several extensions of the action principle, including the one which can incorporate torsion in the spacetime. We also show that an Eddington-like action can be constructed to obtain the field equations of the Lanczos-Lovelock gravity.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85587037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Phenomenology of curvature-induced quantum-gravity effects 曲率诱导量子引力效应的现象学
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-12-14 DOI: 10.1016/j.physletb.2021.136595
G. Amelino-Camelia, G. Rosati, Suzana Bedi'c
{"title":"Phenomenology of curvature-induced quantum-gravity effects","authors":"G. Amelino-Camelia, G. Rosati, Suzana Bedi'c","doi":"10.1016/j.physletb.2021.136595","DOIUrl":"https://doi.org/10.1016/j.physletb.2021.136595","url":null,"abstract":"","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88735255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Effective Field Theory for Compact Object Evolution in Non-Relativistic General Relativity 非相对论性广义相对论中致密物体演化的有效场论
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-12-10 DOI: 10.17605/OSF.IO/Q6AEH
Irvin Martínez, A. Weltman
{"title":"Effective Field Theory for Compact Object Evolution in Non-Relativistic General Relativity","authors":"Irvin Martínez, A. Weltman","doi":"10.17605/OSF.IO/Q6AEH","DOIUrl":"https://doi.org/10.17605/OSF.IO/Q6AEH","url":null,"abstract":"We describe the evolution of slowly spinning compact objects in the late inspiral with Newtonian corrections due to spin, tides, dissipation and post-Newtonian corrections to the point mass term in the action within the effective field theory framework. We evolve the system numerically using a simple algorithm for point particle simulations and extract the lowest-order Newtonian gravitational waveform to study its phase evolution due to the different effects. We show that the matching of coefficients of the effective field theory for compact objects from systems that the gravitational wave observatories LIGO-Virgo currently detects might be possible and it can place tight constraints on fundamental physics.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82787112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Image recovery with the solar gravitational lens 用太阳引力透镜恢复图像
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-12-10 DOI: 10.1103/PhysRevD.103.124038
V. Toth, S. Turyshev
{"title":"Image recovery with the solar gravitational lens","authors":"V. Toth, S. Turyshev","doi":"10.1103/PhysRevD.103.124038","DOIUrl":"https://doi.org/10.1103/PhysRevD.103.124038","url":null,"abstract":"We report on the initial results obtained with an image convolution/deconvolution computer code that we developed and used to study the image formation capabilities of the solar gravitational lens (SGL). Although the SGL of a spherical Sun creates a greatly blurred image, knowledge of the SGL's point-spread function (PSF) makes it possible to reconstruct the original image and remove the blur by way of deconvolution. We discuss the deconvolution process, which can be implemented either with direct matrix inversion or with the Fourier quotient method. We observe that the process introduces a \"penalty\" in the form of a reduction in the signal-to-noise ratio (SNR) of a recovered image, compared to the SNR at which the blurred image data is collected. We estimate the magnitude of this penalty using an analytical approach and confirm the results with a series of numerical simulations. We find that the penalty is substantially reduced when the spacing between image samples is large compared to the telescope aperture. The penalty can be further reduced with suitable noise filtering, which can yield ${cal O}(10)$ or better improvement for low-quality imaging data. Our results confirm that it is possible to use the SGL for imaging purposes. We offer insights on the data collection and image processing strategies that could yield a detailed image of an exoplanet within image data collection times that are consistent with the duration of a realistic space mission.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77326553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The radiation instability in modified gravity 修正重力下的辐射不稳定性
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-12-10 DOI: 10.1142/S0217751X21500603
S. Cotsakis, Dimitrios Trachilis
{"title":"The radiation instability in modified gravity","authors":"S. Cotsakis, Dimitrios Trachilis","doi":"10.1142/S0217751X21500603","DOIUrl":"https://doi.org/10.1142/S0217751X21500603","url":null,"abstract":"We study the problem of the instability of inhomogeneous radiation universes in quadratic lagrangian theories of gravity written as a system of evolution equations with constraints. We construct formal series expansions and show that the resulting solutions have a smaller number of arbitrary functions than that required in a general solution. These results continue to hold for more general polynomial extensions of general relativity.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73109909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exteriors to bouncing collapse models 弹跳坍塌模型的外观
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-12-08 DOI: 10.1103/PHYSREVD.103.064074
T. Schmitz
{"title":"Exteriors to bouncing collapse models","authors":"T. Schmitz","doi":"10.1103/PHYSREVD.103.064074","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.064074","url":null,"abstract":"We construct a large class of spacetimes that are smoothly matched to homogeneous, spherically symmetric clouds of matter. The evolution of the clouds is left arbitrary to allow for the incorporation of modifications by quantum effects, which can in particular lead to bounces. We further discuss two simple yet illustrative examples of these spacetimes, both in general terms and for a specific form of the bounce, with a focus on horizon behavior and relevant timescales.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78102320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
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