<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE book PUBLIC "-//NLM//DTD BITS Book Interchange DTD v2.3 20210610//EN" "BITS-book2.3.dtd"> <book xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" book-type="monograph" dtd-version="2.3" xml:lang="ru"> <front> <book-meta>  <book-id book-id-type="isbn">978-5-9500562-4-6</book-id>   <book-id pub-id-type="doi">10.21661/a-380</book-id>     <book-id book-id-type="other" custom-type="series-title">Научно-методическая библиотека</book-id>   <title-group>  <book-title xml:lang="ru">Образование и наука: современные тренды</book-title>   <trans-title-group xml:lang="en"> <trans-title>Education and science: current trends</trans-title> </trans-title-group>  </title-group>  <description xml:lang="ru"> <p>В коллективной монографии представлены научно–исследовательские материалы известных и начинающих ученых, объединенные основной темой современного видения путей развития науки и образования.</p> </description>   <contrib-group>  <contrib contrib-type="editor" id="editor1">  <contrib-id contrib-id-type="role">chief_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Широков</surname> <given-names>Олег Николаевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Shirokov</surname> <given-names>Oleg Nikolaevich</given-names> </name>  </name-alternatives>   <email xlink:type="simple">425954@rambler.ru</email> </contrib>  <contrib contrib-type="editor" id="editor2">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Абрамова</surname> <given-names>Людмила Алексеевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Abramova</surname> <given-names>Lyudmila Alexeevna</given-names> </name>  </name-alternatives>   <email xlink:type="simple">labramova@interactive-plus.ru</email> </contrib>  <contrib contrib-type="editor" id="editor3">  <contrib-id contrib-id-type="role">executive_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Яковлева</surname> <given-names>Татьяна Валериановна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Yakovleva</surname> <given-names>Tatyana Valerianovna</given-names> </name>  </name-alternatives>   <email xlink:type="simple">info@interactive-plus.ru</email> </contrib>  <contrib contrib-type="editor" id="editor4">  <contrib-id contrib-id-type="role">associate_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Семенова</surname> <given-names>Светлана Юрьевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Semenova</surname> <given-names>Svetlana Yuryevna</given-names> </name>  </name-alternatives>   <email xlink:type="simple">ssemenova@interactive-plus.ru</email> </contrib>  </contrib-group>   <contrib-group>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm1">  <contrib-id contrib-id-type="role">chief_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Широков</surname> <given-names>Олег Николаевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Shirokov</surname> <given-names>Oleg Nikolaevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm2">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Абрамова</surname> <given-names>Людмила Алексеевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Abramova</surname> <given-names>Lyudmila Alexeevna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm3">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Иваницкий</surname> <given-names>Александр Юрьевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Ivanitsky</surname> <given-names>Aleksandr Yuryevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm4">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Руссков</surname> <given-names>Станислав Пименович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Russkov</surname> <given-names>Stanislav Pimenovich</given-names> </name>  </name-alternatives>   </contrib>  </contrib-group>    <publisher> <publisher-name>Центр научного сотрудничества «Интерактив плюс»</publisher-name> </publisher>    <pub-date date-type="collection" publication-format="electronic" iso-8601-date="2017"> <year>2017</year> </pub-date>    <permissions>  <copyright-statement xml:lang="en">© 2017 Mikhail S. Batanov</copyright-statement>   <copyright-statement xml:lang="ru">© 2017 Батанов М. С.</copyright-statement>   <copyright-year>2017</copyright-year>  <copyright-holder xml:lang="ru">Батанов М. С.</copyright-holder>   <copyright-holder xml:lang="en">Mikhail S. Batanov</copyright-holder>    <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/" xml:lang="en" xlink:type="simple"> <license-p>This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p> </license>   <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/" xml:lang="ru" xlink:type="simple"> <license-p>Это произведение доступно по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p> </license>   </permissions>  </book-meta> <book-part book-part-type="book-part"> <book-part-meta>  <book-id pub-id-type="doi">10.21661/r-462204</book-id>   <book-id custom-type="publisher-id" pub-id-type="custom">462204</book-id> <title-group>  <chapter-title xml:lang="ru">Extensions of the Einstein field equations and their solutions</chapter-title>   <trans-title-group xml:lang="en"> <trans-title>Extensions of the Einstein field equations and their solutions</trans-title> </trans-title-group>  </title-group>  <contrib-group>   <contrib contrib-type="author" id="author1"> <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8179-6113</contrib-id>  <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Батанов</surname> <given-names>Михаил Семенович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Batanov</surname> <given-names>Mikhail Semenovich</given-names> </name>   </name-alternatives>  <email xlink:type="simple">alsignat@yandex.ru</email> <xref ref-type="aff" rid="aff1"/> </contrib>    <aff-alternatives id="aff1">   <aff xml:lang="ru">  <institution>ФГБОУ ВО «Московский авиационный институт (национальный исследовательский университет)»</institution>   <country>Россия</country> </aff>    <aff xml:lang="en">  <institution>FSFEI of HE &quot;Moscow Aviation Institute (National Research University)”</institution>   <country>Russia</country> </aff>   </aff-alternatives>  </contrib-group>   <fpage>5</fpage> <lpage>61</lpage>   <abstract xml:lang="ru"> <p>в данной монографии предпринята попытка полностью отказаться от понятия «масса», исследователем предложен вариант построения безмассовой геометрофизики. В работе рассмотрены взаимосвязи между различными решениями вакуумных уравнений Эйнштейна. Предложено расширенное вакуумное уравнение Эйнштейна и приведены его решения. На основании решений вакуумных уравнений предложены метрико-динамические модели сферических вакуумных образований различного масштаба, среди которых выделены практически все элементарные «частицы», входящие в состав Стандартной модели.</p> </abstract>      <trans-abstract xml:lang="en"> <p>according to the researcher one of the aims of geometrodynamics is to eliminate the concept of mass as a fundamental property. The author presents a promising approach to achieving this end. In order to do this, the researcher considers the interface between different solutions of the Einstein field equations, and constructs an extension of these equations and their solutions. This forms the basis of a metric-dynamic model of particles of varying sizes, including virtually all elementary particles that are part of the Standard Model.</p> </trans-abstract>       <kwd-group xml:lang="ru">  <kwd>вакуум</kwd>  <kwd>вакуумное уравнение Эйнштейна</kwd>  <kwd>Риччи-плоское пространство</kwd>  <kwd>сигнатура метрики</kwd>  <kwd>вакуумная протяженность</kwd>  <kwd>Стандартная модель</kwd>  </kwd-group>    <kwd-group xml:lang="en">  <kwd>vacuum</kwd>  <kwd>Einstein field equation</kwd>  <kwd>the Ricci-flat space</kwd>  <kwd>the signature of a metric of the vacuum</kwd>  <kwd>the Standard Model</kwd>  </kwd-group>      </book-part-meta> </book-part> </front>  <back> <ref-list> <title>References</title>  <ref id="ref1"> <label>1</label> <citation-alternatives>  <mixed-citation xml:lang="ru">1. Batanov, M.B. (2017, 7 Feb.) 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