41 research outputs found

    Cosmological perturbations on local systems

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    We study the effect of cosmological expansion on orbits--galactic, planetary, or atomic--subject to an inverse-square force law. We obtain the laws of motion for gravitational or electrical interactions from general relativity--in particular, we find the gravitational field of a mass distribution in an expanding universe by applying perturbation theory to the Robertson-Walker metric. Cosmological expansion induces an (a¨/a)r\ddot a/a) \vec r force where a(t)a(t) is the cosmological scale factor. In a locally Newtonian framework, we show that the (a¨/a)r(\ddot a/a) \vec r term represents the effect of a continuous distribution of cosmological material in Hubble flow, and that the total force on an object, due to the cosmological material plus the matter perturbation, can be represented as the negative gradient of a gravitational potential whose source is the material actually present. We also consider the effect on local dynamics of the cosmological constant. We calculate the perihelion precession of elliptical orbits due to the cosmological constant induced force, and work out a generalized virial relation applicable to gravitationally bound clusters.Comment: 10 page

    Effect of inhomogeneity of the Universe on a gravitationally bound local system: A no-go result for explaining the secular increase in the astronomical unit

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    We will investigate the influence of the inhomogeneity of the universe, especially that of the Lema{\^i}tre-Tolman-Bondi (LTB) model, on a gravitationally bound local system such as the solar system. We concentrate on the dynamical perturbation to the planetary motion and derive the leading order effect generated from the LTB model. It will be shown that there appear not only a well-known cosmological effect arisen from the homogeneous and isotropic model, such as the Robertson-Walker (RW) model, but also the additional terms due to the radial inhomogeneity of the LTB model. We will also apply the obtained results to the problem of secular increase in the astronomical unit, reported by Krasinsky and Brumberg (2004), and imply that the inhomogeneity of the universe cannot have a significant effect for explaining the observed dAU/dt=15±4 [m/century]d{\rm AU}/dt = 15 \pm 4 ~{\rm [m/century]}.Comment: 12 pages, no figure, accepted for publication in Journal of Astrophysics and Astronom

    The European Academy for Cognitive Behavioural Therapy for Insomnia : An initiative of the European Insomnia Network to promote implementation and dissemination of treatment

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    Insomnia, the most prevalent sleep disorder worldwide, confers marked risks for both physical and mental health. Furthermore, insomnia is associated with considerable direct and indirect healthcare costs. Recent guidelines in the US and Europe unequivocally conclude that cognitive behavioural therapy for insomnia (CBT‐I) should be the first‐line treatment for the disorder. Current treatment approaches are in stark contrast to these clear recommendations, not least across Europe, where, if any treatment at all is delivered, hypnotic medication still is the dominant therapeutic modality. To address this situation, a Task Force of the European Sleep Research Society and the European Insomnia Network met in May 2018. The Task Force proposed establishing a European CBT‐I Academy that would enable a Europe‐wide system of standardized CBT‐I training and training centre accreditation. This article summarizes the deliberations of the Task Force concerning definition and ingredients of CBT‐I, preconditions for health professionals to teach CBT‐I, the way in which CBT‐I should be taught, who should be taught CBT‐I and to whom CBT‐I should be administered. Furthermore, diverse aspects of CBT‐I care and delivery were discussed and incorporated into a stepped‐care model for insomnia.Peer reviewe

    The European Insomnia Guideline : An update on the diagnosis and treatment of insomnia 2023

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    Publisher Copyright: © 2023 The Authors. Journal of Sleep Research published by John Wiley & Sons Ltd on behalf of European Sleep Research Society.Progress in the field of insomnia since 2017 necessitated this update of the European Insomnia Guideline. Recommendations for the diagnostic procedure for insomnia and its comorbidities are: clinical interview (encompassing sleep and medical history); the use of sleep questionnaires and diaries (and physical examination and additional measures where indicated) (A). Actigraphy is not recommended for the routine evaluation of insomnia (C), but may be useful for differential-diagnostic purposes (A). Polysomnography should be used to evaluate other sleep disorders if suspected (i.e. periodic limb movement disorder, sleep-related breathing disorders, etc.), treatment-resistant insomnia (A) and for other indications (B). Cognitive-behavioural therapy for insomnia is recommended as the first-line treatment for chronic insomnia in adults of any age (including patients with comorbidities), either applied in-person or digitally (A). When cognitive-behavioural therapy for insomnia is not sufficiently effective, a pharmacological intervention can be offered (A). Benzodiazepines (A), benzodiazepine receptor agonists (A), daridorexant (A) and low-dose sedating antidepressants (B) can be used for the short-term treatment of insomnia (≤ 4 weeks). Longer-term treatment with these substances may be initiated in some cases, considering advantages and disadvantages (B). Orexin receptor antagonists can be used for periods of up to 3 months or longer in some cases (A). Prolonged-release melatonin can be used for up to 3 months in patients ≥ 55 years (B). Antihistaminergic drugs, antipsychotics, fast-release melatonin, ramelteon and phytotherapeutics are not recommended for insomnia treatment (A). Light therapy and exercise interventions may be useful as adjunct therapies to cognitive-behavioural therapy for insomnia (B).Peer reviewe

    Starting a new business later in life

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    Self-employment in later life may be either a career option or a form of partial retirement. This paper adds knowledge about those individuals who start a business when they are older. A large longitudinal data set is utilized to examine the transitions of individuals aged 55–74 to self-employment in Finland. The significance of prior activity as well as personal, household, financial, and environmental characteristics is analyzed for the transitions. The results show that most of those entering self-employment in later life have prior self-employment experience, thus suggesting that entrepreneurship at later ages is often habitual. Habitual entrepreneurs deviate from novice entrepreneurs in many respects at older ages: they are less educated, more likely men, and live mostly in urban areas. An entrepreneurial spouse has a significant effect for both, but this effect is greater for novice entrepreneurs. In most cases, a large income increases the probability to start a business at older ages.peerReviewe
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